{"id":999,"date":"2022-05-25T16:29:55","date_gmt":"2022-05-25T16:29:55","guid":{"rendered":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/?p=999"},"modified":"2022-05-25T16:29:55","modified_gmt":"2022-05-25T16:29:55","slug":"clase-digital-3-lenguaje-algebraico-leyes-de-los-signos-operaciones-basicas","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-3-lenguaje-algebraico-leyes-de-los-signos-operaciones-basicas\/","title":{"rendered":"Clase digital 3. Lenguaje algebraico &#8211; Leyes de los signos &#8211; Operaciones b\u00e1sicas"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-1001\" alt=\"brown wooden letter blocks on white surface\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc.jpg\" style=\"object-position:60% 69%\" data-object-fit=\"cover\" data-object-position=\"60% 69%\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1600\" height=\"1200\" class=\"wp-block-cover__image-background wp-image-1001\" alt=\"brown wooden letter blocks on white surface\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc.jpg\" style=\"object-position:60% 69%\" data-object-fit=\"cover\" data-object-position=\"60% 69%\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc.jpg 1600w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc-300x225.jpg 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc-1024x768.jpg 1024w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc-768x576.jpg 768w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/y1ug1dxuduc-1536x1152.jpg 1536w\" sizes=\"auto, (max-width: 1600px) 100vw, 1600px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\">Lenguaje algebraico &#8211; Leyes de los signos &#8211; Operaciones b\u00e1sicas<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Introducci\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u00bfC\u00f3mo te encuentras hoy? Espero que est\u00e9s gozando de excelente salud y con la mejor actitud para revisar esta clase en la que daremos inicio al estudio del \u00e1lgebra, una rama de las matem\u00e1ticas que utiliza no solo n\u00fameros y signos, sino tambi\u00e9n letras para resolver operaciones.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Durante esta sesi\u00f3n, revisamos el uso del lenguaje algebraico que permite establecer una expresi\u00f3n o ecuaci\u00f3n matem\u00e1tica y viceversa. Posteriormente, abordaremos las leyes de los signos que son de gran importancia en las operaciones algebraicas y, finalmente, terminaremos con la resoluci\u00f3n de operaciones algebraicas: suma o adici\u00f3n, resta o diferencia, multiplicaci\u00f3n o producto y divisi\u00f3n o cociente.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Una vez que ya conoces lo que explotaremos en esta clase digital, te invito a que iniciemos con todo el entusiasmo que has mostrado hasta este momento.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Desarrollo del tema<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Lenguaje algebraico<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">El lenguaje algebraico utiliza letras, s\u00edmbolos y n\u00fameros para expresar en forma breve enunciados en los que se pide realizar operaciones matem\u00e1ticas. Previo a citar algunos ejemplos, es necesario que conozcas dos conceptos b\u00e1sicos: expresi\u00f3n algebraica y t\u00e9rmino algebraico.<\/p>\n\n\n\n<p class=\"has-text-align-right wp-block-paragraph\"><em>Fuente de informaci\u00f3n: <a href=\"https:\/\/www.lifeder.com\/lenguaje-algebraico\/\" target=\"_blank\" rel=\"noreferrer noopener\">lentuaje-algebraico<\/a><\/em><\/p>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\" style=\"background-color:#ebb7943b\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">Expresi\u00f3n algebraica<\/h4>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">Se conoce como expresi\u00f3n algebraica a la combinaci\u00f3n de letras, signos y n\u00fameros en las operaciones matem\u00e1ticas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>5x &#8211; 3y + 2z<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">T\u00e9rmino algebraico<\/h4>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\">Expresi\u00f3n algebraica cuyas partes no est\u00e1n separadas por los signos sumas o restas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>-5x<sup>2<\/sup>y<sup>3<\/sup>z<br>-5 constante<br>x, y, z variables<br>2, 3 exponentes<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En la siguiente tabla se muestran una serie de ejemplos que son usados con frecuencia.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.07.09.png\" alt=\"\" class=\"wp-image-1004\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"838\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.07.09.png\" alt=\"\" class=\"wp-image-1004\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.07.09.png 850w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.07.09-300x296.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.07.09-768x757.png 768w\" sizes=\"auto, (max-width: 850px) 100vw, 850px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Por otro lado, los <strong>t\u00e9rminos semejantes<\/strong> son aquellos t\u00e9rminos que contienen las mismas variables con sus respectivos exponentes iguales.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Los t\u00e9rminos semejantes con<strong> signos iguales<\/strong> se suman<\/li><li>Los t\u00e9rminos semejantes con <strong>signos diferentes<\/strong> se restan y se escribe el signo del n\u00famero mayor.<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Ejemplos<\/th><th>Justificaci\u00f3n<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">3<em>x<\/em><sup>2<\/sup> &#8211; 11<em>x<\/em><sup>2<\/sup> + 2<em>x<\/em><sup>2<\/sup><\/td><td>Si son t\u00e9rminos semejantes<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">10<em>x<\/em> + 3<em>y<\/em> &#8211; 2<em>z<\/em><\/td><td>No son t\u00e9rminos semejantes<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">8<em>xy<\/em><sup>2 <\/sup>+ 2<em>xy<\/em><sup>2 <\/sup>&#8211; 3<em>xy<\/em><sup>2<\/sup><\/td><td>Si son t\u00e9rminos semejantes<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3<em>ab<\/em> &#8211; 10<em>ab<\/em> + 4<em>ab<\/em><\/td><td>Si son t\u00e9rminos semejantes<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\" style=\"background-color:#ebb7943b\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">Monomio<\/h4>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">Expresi\u00f3n algebraica que consta de un t\u00e9rmino<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>-9y<sup>5<\/sup><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Coeficiente: -9<\/strong><br><strong>Parte literal: y<sup>5<\/sup><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Suma y resta de monomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para sumar o restar monomios, solo se suman o restan s\u00ed son semejantes, es decir, si ambos monomios tienen una parte literal id\u00e9ntica (mismas letras y exponentes). Por lo tanto se suman o restan los coeficientes y se deja la misma literal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ejemplos:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>4<em>y<\/em><sup>3<\/sup> + 3<em>y<\/em><sup>3<\/sup> = (4 + 3)<em>y<\/em><sup>3<\/sup> = 7<em>y<\/em><sup>3<\/sup><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>30<em>ab <\/em>&#8211; 7<em>ab<\/em> = (30 &#8211; 7)<em>ab<\/em> = 23<em>ab<\/em><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>-10<em>a<\/em><sup>2<\/sup><em>b<\/em> + 3<em>a<\/em><sup>2<\/sup><em>b<\/em> = (- 10 + 3)<em>a<\/em><sup>2<\/sup><em>b<\/em> = &#8211; 7<em>a<\/em><sup>2<\/sup><em>b<\/em><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si los monomios no son semejantes, la operaci\u00f3n se deja indicada, \u00fanicamente sumar o restar aquellos monomios que sean semejantes.<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>3<em>ax<\/em><sup>2<\/sup> + 2<em>a<\/em><sup>2<\/sup><em>x<\/em> &#8211; 9<em>a<\/em><sup>2<\/sup><em>x<\/em> = 3<em>ax<\/em><sup>2<\/sup> &#8211; 7<em>a<\/em><sup>2<\/sup><em>x<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\" style=\"background-color:#ebb7943b\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">Polinomio<\/h4>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">Expresi\u00f3n algebraica constituida por dos o m\u00e1s t\u00e9rminos.<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>3<em>x<\/em><sup>4<\/sup> + 51<em>x<\/em><sup>3<\/sup><em>y<\/em> &#8211; 12<em>xy<\/em><sup>2<\/sup><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Suma y resta de polinomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para sumar dos o m\u00e1s polinomios, se ordenan los polinomios haciendo coincidir los t\u00e9rminos semejantes en columnas y se reducen los coeficientes t\u00e9rmino a t\u00e9rmino.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: suma los polinomios<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>2a<sup>2<\/sup>b + 3ab &#8211; 10b<sup>2<\/sup>; &#8211; 7a<sup>2<\/sup>b &#8211; 8ab &#8211; 3b<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.34.51.png\" alt=\"\" class=\"wp-image-1006\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"353\" height=\"125\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.34.51.png\" alt=\"\" class=\"wp-image-1006\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.34.51.png 353w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.34.51-300x106.png 300w\" sizes=\"auto, (max-width: 353px) 100vw, 353px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Te compartimos un consejo para realizar suma o resta de t\u00e9rminos semejantes:<\/p>\n\n\n\n<figure class=\"wp-block-table has-medium-font-size\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">5x + 4x<\/td><td class=\"has-text-align-center\" data-align=\"center\">9x<\/td><td>Si los t\u00e9rminos son del mismo signo, los coeficientes se suman y se conserva el signo.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">&#8211; 5x &#8211; 4x<\/td><td class=\"has-text-align-center\" data-align=\"center\">&#8211; 9x<\/td><td>Si los t\u00e9rminos son del mismo signo, los coeficientes se suman y se conserva el signo.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">&#8211; 5x + 4x<\/td><td class=\"has-text-align-center\" data-align=\"center\">&#8211; x<\/td><td>Si los t\u00e9rminos son de diferente signo, los coeficientes se restan y se conserva el signo del coeficiente m\u00e1s grande.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5x &#8211; 4x<\/td><td class=\"has-text-align-center\" data-align=\"center\">x<\/td><td>Si los t\u00e9rminos son de diferente signo, los coeficientes se restan y se conserva el signo del coeficiente m\u00e1s grande.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Signos de agrupaci\u00f3n<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Los signos de agrupaci\u00f3n se utilizan para indicar que las cantidades en su interior se deben considerar como una sola. Los signos son:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Corchetes<\/strong><br>[  ]<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Par\u00e9ntesis<\/strong><br>(  )<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Llaves<\/strong><br>{  }<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Si el signo de agrupaci\u00f3n est\u00e1 precedido por el signo positivo (+), \u00e9ste se elimina y las cantidades que est\u00e1n dentro conservan el signo:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>+ (3a &#8211; 4b + 7c + 8) = 3a &#8211; 4b + 7c + 8<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si el signo de agrupaci\u00f3n est\u00e1 precedido por el signo negativo (-), \u00e9ste se elimina y las cantidades que est\u00e1n dentro conservan el signo<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">&#8211; (<strong>3a &#8211; 4b + 7c + 8) = &#8211; 3a + 4b -7c &#8211; 8<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si en una expresi\u00f3n existen varios signos de agrupaci\u00f3n, se deber\u00e1n ir suprimiendo en el siguiente orden:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Par\u00e9ntesis<\/li><li>Corchetes<\/li><li>Llaves<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">A continuaci\u00f3n te presentamos un ejemplo.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>: Simplifica:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong> 2x + 4y &#8211; [6x &#8211; (2x + y) &#8211; (3y &#8211; 4z) + 7y]=<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">Primero se suprimen los par\u00e9ntesis. Si el par\u00e9ntesis est\u00e1 precedido de un signo positivo, las cantidades dentro conservan el mismo signo. Si el par\u00e9ntesis est\u00e1 precedido por un signo negativo, las cantidades dentro del par\u00e9ntesis cambian su signo.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2x + 4y &#8211; [6x &#8211; (2x + y) &#8211; (3y &#8211; 4z) + 7y]=<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2x + 4y &#8211; [6x &#8211; 2x &#8211; y &#8211; 3y + 4z + 7y]=<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">Enseguida se suprimen los corchetes, siguiendo el mismo criterio de los signos como en el paso anterior.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">2x + 4y &#8211; [6x &#8211; 2x &#8211; y &#8211; 3y + 4z + 7y] =<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">= 2 x + 4y &#8211; 6x + 2x + y + 3y &#8211; 4z &#8211; 7y<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-medium-font-size wp-block-paragraph\">Al finalizar, se suman o restan los t\u00e9rminos semejantes.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">= 4x &#8211; 6x + 8y &#8211; 7y &#8211; 4z<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">= &#8211; 2x + y &#8211; 4z<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Algunas operaciones algebraicas como la multiplicaci\u00f3n y divisi\u00f3n requieren del uso de <strong>leyes de los signos<\/strong>, los cuales se muestran a continuaci\u00f3n y con una serie de ejemplos.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.54.38.png\" alt=\"\" class=\"wp-image-1009\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"849\" height=\"345\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.54.38.png\" alt=\"\" class=\"wp-image-1009\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.54.38.png 849w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.54.38-300x122.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-10.54.38-768x312.png 768w\" sizes=\"auto, (max-width: 849px) 100vw, 849px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\" style=\"background-color:#ebb7943b\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">Multiplicaci\u00f3n algebraica<\/h4>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Regla de exponentes<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">(a<sup>m<\/sup>)(a<sup>n<\/sup>) = a<sup>m+n<\/sup><\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Multiplicaci\u00f3n de monomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Se multiplican los coeficientes (aplicando las reglas de los signos) y enseguida las partes literales (los exponentes se suman).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplos<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>(- 3x<sup>3<\/sup>y)(7x<sup>4<\/sup>y<sup>6<\/sup>z) = -21x<sup>(3+4)<\/sup>y<sup>(1+6)<\/sup>z = -21x<sup>7<\/sup>y<sup>7<\/sup>z<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>( &#8211; 2a<sup>2<\/sup>bc)( &#8211; 10ab)( &#8211; 5ac<sup>3<\/sup>) = &#8211; 100a<sup>(2+1+1)<\/sup>b<sup>(1+1)<\/sup>c<sup>(1+3)<\/sup> = -100a<sup>4<\/sup>b<sup>2<\/sup>c<sup>4<\/sup><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Multiplicaci\u00f3n de polinomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Se multiplica cada t\u00e9rmino del primer polinomio por cada t\u00e9rmino del otro polinomio y al final se suman los t\u00e9rminos semejantes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ejemplo<\/strong>:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>(3a<sup>2<\/sup> + 4ab &#8211; 6b<sup>2<\/sup>) (4a &#8211; 3b &#8211; 6) =<\/strong><br><strong>= <mark style=\"color:#fa3810\" class=\"has-inline-color\">3a<sup>2<\/sup> <\/mark>(4a &#8211; 3b &#8211; 6) <mark style=\"color:#fa3810\" class=\"has-inline-color\">+ 4ab<\/mark> (4a &#8211; 3b &#8211; 6) <mark style=\"color:#fa3810\" class=\"has-inline-color\">+ 6b<sup>2<\/sup><\/mark> (4a &#8211; 3b &#8211; 6)<\/strong><br><strong>= 12a<sup>3<\/sup> &#8211; 9a<sup>2<\/sup>b &#8211; 18a<sup>2<\/sup> + 16a<sup>2<\/sup>b &#8211; 12ab<sup>2<\/sup> &#8211; 24ab &#8211; 24ab<sup>2<\/sup> + 18b<sup>3<\/sup> + 36b<sup>2<\/sup><\/strong><br><strong>= 12a<sup>3<\/sup> &#8211; 7a<sup>2<\/sup>b &#8211; 18a<sup>2<\/sup> &#8211; 36ab<sup>2 <\/sup>+ 18b<sup>3<\/sup> + 36b<sup>2<\/sup><\/strong><br><\/p>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\" style=\"background-color:#ebb7943b\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"has-text-align-center wp-block-heading\">Divisi\u00f3n algebraica<\/h4>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Regla de exponentes<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.12.40.png\" alt=\"\" class=\"wp-image-1014\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"173\" height=\"78\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.12.40.png\" alt=\"\" class=\"wp-image-1014\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Divisi\u00f3n de monomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para dividir dos monomios, se lleva a cabo el siguiente procedimiento:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1) Se aplica la regla de los signos.<br>2) Se realiza la divisi\u00f3n de los coeficientes o en su caso simplificar a su m\u00ednima expresi\u00f3n.<br>3) Se aplica regla de los exponentes. El exponente m\u00e1s grande de cada base, definir\u00e1 la posici\u00f3n del resultado<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>: divide<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.13.43.png\" alt=\"\" class=\"wp-image-1015\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"108\" height=\"71\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.13.43.png\" alt=\"\" class=\"wp-image-1015\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">a) Se aplica la regla de signos.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.12.png\" alt=\"\" class=\"wp-image-1016\" width=\"291\" height=\"83\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.12.png\" alt=\"\" class=\"wp-image-1016\" width=\"291\" height=\"83\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.12.png 343w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.12-300x86.png 300w\" sizes=\"auto, (max-width: 291px) 100vw, 291px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">b) Se simplifican los coeficientes<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.57.png\" alt=\"\" class=\"wp-image-1017\" width=\"138\" height=\"84\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.15.57.png\" alt=\"\" class=\"wp-image-1017\" width=\"138\" height=\"84\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">c) Se aplica la regla de los exponentes<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.17.04.png\" alt=\"\" class=\"wp-image-1018\" width=\"426\" height=\"76\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.17.04.png\" alt=\"\" class=\"wp-image-1018\" width=\"426\" height=\"76\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.17.04.png 575w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.17.04-300x54.png 300w\" sizes=\"auto, (max-width: 426px) 100vw, 426px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong>Ejemplo<\/strong>: divide <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.19.58.png\" alt=\"\" class=\"wp-image-1022\" width=\"184\" height=\"45\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.19.58.png\" alt=\"\" class=\"wp-image-1022\" width=\"184\" height=\"45\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Soluci\u00f3n:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.20.48.png\" alt=\"\" class=\"wp-image-1023\" width=\"136\" height=\"93\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.20.48.png\" alt=\"\" class=\"wp-image-1023\" width=\"136\" height=\"93\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">a) Se aplica la regla de los signos<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.00.png\" alt=\"\" class=\"wp-image-1024\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"170\" height=\"94\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.00.png\" alt=\"\" class=\"wp-image-1024\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">b) Simplifican los coeficientes<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.39.png\" alt=\"\" class=\"wp-image-1025\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"432\" height=\"100\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.39.png\" alt=\"\" class=\"wp-image-1025\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.39.png 432w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.22.39-300x69.png 300w\" sizes=\"auto, (max-width: 432px) 100vw, 432px\" \/><\/noscript><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-medium-font-size wp-block-paragraph\">c) Se aplica la regla de los exponentes<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\"><div class=\"wp-block-image\">\n<figure class=\"alignleft size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.23.20.png\" alt=\"\" class=\"wp-image-1026\" width=\"230\" height=\"98\" \/><noscript><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.23.20.png\" alt=\"\" class=\"wp-image-1026\" width=\"230\" height=\"98\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><br>En este caso, tanto x como y quedan en el denominador.<\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Divisi\u00f3n de un polinomio entre un monomio<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para dividir un polinomio entre un monomio, se divide cada t\u00e9rmino del polinomio entre el monomio. A continuaci\u00f3n se presentan algunos ejemplos.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06-1024x825.png\" alt=\"\" class=\"wp-image-1028\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"825\" src=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06-1024x825.png\" alt=\"\" class=\"wp-image-1028\" srcset=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06-1024x825.png 1024w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06-300x242.png 300w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06-768x619.png 768w, https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-content\/uploads\/sites\/69\/2022\/05\/Captura-de-Pantalla-2022-05-25-a-las-11.26.06.png 1056w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Divisi\u00f3n de polinomios<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Para la explicaci\u00f3n de este subtema, te invitamos a que consultes el siguiente tutorial: Divisi\u00f3n entre polinomios<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Divisi\u00f3n algebraica Polinomio entre polinomio\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/Bq9uZNcAfgI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">En esta clase dimos inicio al estudio del \u00e1lgebra. Partimos del concepto de <strong>t\u00e9rmino algebraico <\/strong>y <strong>expresi\u00f3n algebraica<\/strong> para despu\u00e9s poder traducir lenguaje algebraico en una expresi\u00f3n que representara el enunciado dado.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Revisamos cada una de las operaciones algebraicas (suma, resta, multiplicaci\u00f3n y divisi\u00f3n) para lo cual fue necesario conocer las leyes de exponentes que rigen a cada operaci\u00f3n b\u00e1sica, as\u00ed como, regla de signos aplicada a la multiplicaci\u00f3n y divisi\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Con ello, damos por finalizada esta clase, esperando que haya sido de tu agrado y muy enriquecedora para tu formaci\u00f3n acad\u00e9mica. Te invito a continuar con el curso y siguiendo con el \u00e1nimo y actitud que has mostrado hasta este momento.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Fuentes de informaci\u00f3n<\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/www.youtube.com\/watch?v=50bJU4PLSEs\" target=\"_blank\" rel=\"noreferrer noopener\">Suma de expresiones algebraicas<\/a><\/li><li><a href=\"https:\/\/www.matematicas18.com\/es\/tutoriales\/algebra\/division-de-monomios-y-polinomios\/\" target=\"_blank\" rel=\"noreferrer noopener\">Divisi\u00f3n de monomios y polinomios<\/a><\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=PG2kCWGOdWI\" target=\"_blank\" rel=\"noreferrer noopener\">Multiplicaci\u00f3n y divisi\u00f3n de monomios y polinomios<\/a>.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introducci\u00f3n \u00bfC\u00f3mo te encuentras hoy? Espero que est\u00e9s gozando de excelente salud y con la mejor actitud para revisar esta clase en la que daremos inicio al estudio del \u00e1lgebra, una rama de las matem\u00e1ticas que utiliza no solo n\u00fameros y signos, sino tambi\u00e9n letras para resolver operaciones. Durante esta sesi\u00f3n, revisamos el uso del &#8230; <a title=\"Clase digital 3. Lenguaje algebraico &#8211; Leyes de los signos &#8211; Operaciones b\u00e1sicas\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/clase-digital-3-lenguaje-algebraico-leyes-de-los-signos-operaciones-basicas\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 3. Lenguaje algebraico &#8211; Leyes de los signos &#8211; Operaciones b\u00e1sicas\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[20,29],"tags":[30,4,31],"class_list":["post-999","post","type-post","status-publish","format-standard","hentry","category-bloque-3","category-matematicas-i","tag-beatriz-rubio-campos","tag-clase-digital","tag-neba04"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/999","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/comments?post=999"}],"version-history":[{"count":8,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/999\/revisions"}],"predecessor-version":[{"id":1029,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/posts\/999\/revisions\/1029"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/media?parent=999"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/categories?post=999"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/bachilleratovirtual\/wp-json\/wp\/v2\/tags?post=999"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}