{"id":48,"date":"2023-09-17T07:31:21","date_gmt":"2023-09-17T07:31:21","guid":{"rendered":"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/"},"modified":"2023-09-17T07:31:21","modified_gmt":"2023-09-17T07:31:21","slug":"soma-de-monomas-adicionar-exemplos-exercicios-resolvidos","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/","title":{"rendered":"Soma de mon\u00f4mios"},"content":{"rendered":"<p>Esta p\u00e1gina explica o que \u00e9 e como adicionar mon\u00f4mios (semelhantes ou n\u00e3o). Al\u00e9m disso, voc\u00ea poder\u00e1 ver exemplos e praticar com exerc\u00edcios passo a passo resolvidos sobre adi\u00e7\u00e3o de mon\u00f4mios. Por fim, voc\u00ea tamb\u00e9m encontrar\u00e1 a explica\u00e7\u00e3o de todas as propriedades da soma dos mon\u00f4mios.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-suman-los-monomios\"><\/span> Como os mon\u00f4mios s\u00e3o adicionados? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Dois ou mais mon\u00f4mios s\u00f3 podem ser somados se forem semelhantes, ou seja, se os dois mon\u00f4mios tiverem parte literal id\u00eantica (mesmas letras e mesmos expoentes).<\/p>\n<p> Ent\u00e3o, a soma de dois mon\u00f4mios semelhantes \u00e9 igual a outro mon\u00f4mio composto pela mesma parte literal e pela soma dos coeficientes desses dois mon\u00f4mios. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-monomes-exemples.png\" alt=\"adicionando mon\u00f4mios passo a passo\" class=\"wp-image-175\" width=\"189\" height=\"190\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Portanto, ao somar um mon\u00f4mio mais outro mon\u00f4mio, obteremos sempre um mon\u00f4mio semelhante aos dois mon\u00f4mios envolvidos na soma. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-sumas-de-monomios\"><\/span>Exemplos de somas de mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Para que voc\u00ea possa entender claramente como adicionar dois ou mais mon\u00f4mios, voc\u00ea pode ver v\u00e1rios exemplos abaixo: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-efd1d13a1dec2b7e39be1a71ead8a441_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^4+3x^4 = 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"125\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2a9941e13fbe4d7881b99ee7660cfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y^2+y^2 = 5y^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b42e71adb23ec8aa9fd276c5864bc08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^3y+2x^3y = 9x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9930c00ea28ee7d35113217c6ef47b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2a^3b^2c^6+6a^3b^2c^6 = 8a^3b^2c^6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"215\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec2b8fd044bf2c506940b6ca8226f6c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^3+2x^3+5x^3=6x^3+5x^3=11x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"281\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Resumindo, apenas mon\u00f4mios semelhantes podem ser adicionados. E, neste caso, apenas os coeficientes s\u00e3o somados mas a parte literal permanece a mesma.<\/p>\n<p> Agora que voc\u00ea viu como resolver uma soma de mon\u00f4mios, provavelmente est\u00e1 interessado em saber como calcular todas as outras opera\u00e7\u00f5es com mon\u00f4mios (subtra\u00e7\u00e3o, multiplica\u00e7\u00e3o, divis\u00e3o, pot\u00eancia,\u2026). \u00c9 por isso que deixamos este link onde n\u00e3o s\u00f3 explica como realizar todas as opera\u00e7\u00f5es com mon\u00f4mios, mas tamb\u00e9m ensina como resolver <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/operacoes-com-monomas-exemplos-e-exercicios-resolvidos-1-2-3-4-que\/\">opera\u00e7\u00f5es combinadas com mon\u00f4mios<\/a><\/span><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-monomios-no-semejantes\"><\/span> Soma de diferentes mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Acabamos de ver que apenas mon\u00f4mios semelhantes podem ser adicionados. Portanto, se encontrarmos uma soma de <strong>mon\u00f4mios n\u00e3o semelhantes<\/strong> , ou seja, com um expoente diferente ou com uma vari\u00e1vel (letra) diferente, n\u00e3o podemos em nenhum caso realizar a soma dos referidos mon\u00f4mios. E, neste caso, devemos deixar a opera\u00e7\u00e3o indicada (sem resolu\u00e7\u00e3o).<\/p>\n<p> Veja o seguinte exemplo de adi\u00e7\u00e3o entre mon\u00f4mios semelhantes e diferentes:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdd86846784eed28cd58a87e250fdc59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^3+4x^7+5x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"123\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Na express\u00e3o alg\u00e9brica acima, o mon\u00f4mio<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2829cc3cd2f305c10b545bee09a416e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<p> Possui uma parte literal diferente das demais, portanto n\u00e3o podemos adicion\u00e1-la aos demais termos. Por outro lado, os outros dois mon\u00f4mios podem ser somados:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9ddbf0dcf5e7f7af54271965d223308f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^7+2x^3+5x^3 = 4x^7+7x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"221\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Concluindo, quando somamos dois (ou mais) mon\u00f4mios n\u00e3o semelhantes n\u00e3o podemos agrup\u00e1-los e, portanto, obtemos um polin\u00f4mio.<\/p>\n<p> No entanto, isto \u00e9 diferente quando multiplicamos mon\u00f4mios, porque tanto mon\u00f4mios semelhantes quanto mon\u00f4mios diferentes podem ser multiplicados. \u00c9 por isso que recomendamos que voc\u00ea d\u00ea uma olhada nesta p\u00e1gina que explica <strong><a href=\"https:\/\/mathority.org\/pt\/multiplicacao-algebrica-de-monomas-multiplicacao-de-exemplos-e-exercicios-resolvidos\/\"><span style=\"text-decoration: underline;\">como multiplicar mon\u00f4mios<\/span><\/a><\/strong> e quais s\u00e3o as diferen\u00e7as entre multiplicar e somar mon\u00f4mios. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-suma-de-monomios\"><\/span> Exerc\u00edcios resolvidos sobre soma de mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Para que voc\u00ea possa praticar, abaixo est\u00e3o v\u00e1rios exerc\u00edcios resolvidos passo a passo sobre adi\u00e7\u00e3o de mon\u00f4mios:<\/p>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 1<\/h3>\n<p> Execute as seguintes somas de mon\u00f4mios:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-677cfb3aa75b3bf8aff5d60d687052f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^4+2x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"100\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8c9b2309e769cf2d232b015624e060fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3xy+10xy\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-732c33d5a37db7c360a0bb7290a86671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6x^2y^3z+7x^2y^3z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"153\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9945e8d67c79d33610b0e647e26823d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 4a^2b^2c+8a^2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Veja a solu\u00e7\u00e3o<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15671adee33be7ed626bd137a105199f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^4+2x^4 = \\bm{7x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-106241a416ec91f4a9c0ac91b5ccdf0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 3xy+10xy = \\bm{13xy}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8b0e47a2a066f0bb386057d75b960d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 6x^2y^3z+7x^2y^3z=\\bm{13x^2y^3z}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9945e8d67c79d33610b0e647e26823d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 4a^2b^2c+8a^2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u00faltima opera\u00e7\u00e3o monomial n\u00e3o pode ser executada porque n\u00e3o s\u00e3o semelhantes (possuem partes literais diferentes).<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 2<\/h3>\n<p> Resolva as seguintes somas de mon\u00f4mios: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54269c9cbbbd78ed7317a3aadd384719_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^2+5x^2+x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6925b006d60f322791dc6106f6a0070_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4ab+6ab+3ab+5ab\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71d3447eb91bace965081a0b0bc8fc01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ dgp+4dgp+2dgp+9dgp\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"226\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-543568d0a8ac728c94c0484364698ee4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6a^2b +5a^2b +8a^2b+4a^2b+2a^2b\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"281\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Veja a solu\u00e7\u00e3o<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7bca2b00b0f755d63b7dd86086ea7030_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^2+5x^2+x^2 =\\bm{8x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a071d2d6eefc30ff52143ecbfcbcdc55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4ab+6ab+3ab+5ab =\\bm{18ab}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"252\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a042a50eb07764504acebbe0a536a07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ dgp+4dgp+2dgp+9dgp =\\bm{16dgp}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"295\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-439f31fd465f289ac87dee4c43f64a67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6a^2b +5a^2b +8a^2b+4a^2b+2a^2b=\\bm{25a^2b}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"347\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Exerc\u00edcio 3<\/h3>\n<p> Simplifique ao m\u00e1ximo as seguintes somas de mon\u00f4mios: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d5f46fdcee2d66321c7ff3957ce2a2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^6+4x^6+x^5+2x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"188\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c339c283e0b96184fb0a5b2258ec4b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4xyz+5xz+7xyz+8xz\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73ec1c8f58abbc741116bf16a49c49b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ ab^2c +3a^2bc+5ab^2c+ab^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"238\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba0c2007b397400cc963c46473cf8571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6y^3+3y^3+2y^5+2y^4+y^5+4y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"280\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Veja a solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para fazer bem este exerc\u00edcio, devemos lembrar que eles s\u00f3 podem ser somados se os mon\u00f4mios forem semelhantes entre si, por outro lado, quando os mon\u00f4mios n\u00e3o s\u00e3o semelhantes, eles n\u00e3o podem ser somados. ENT\u00c3O: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7502af4cf7709690c4a22e4087db960_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^6+4x^6+x^5+2x^6 = \\bm{9x^6+x^5}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"278\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d245bbadb116b1afb743e34ffd8d3bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4xyz+5xz+7xyz+8xz =\\bm{11xyz+13xz}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69b452aa3a2baf79f34e3d896f3700f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ ab^2c +3a^2bc+5ab^2c+ab^2c =\\bm{7ab^2c+3a^2bc}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"366\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-540dea1d9aab4db14ae77619a92aff1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 6y^3+3y^3+2y^5+2y^4+y^5+4y^3= \\bm{3y^5+2y^4+13y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"434\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-suma-de-monomios\"><\/span> Propriedades da soma dos mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A soma dos mon\u00f4mios possui as seguintes caracter\u00edsticas:<\/p>\n<ul>\n<li> <strong>Propriedade associativa<\/strong> : quando se somam 3 ou mais mon\u00f4mios semelhantes, sempre se respeita a seguinte igualdade:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0e8be3d52ba6715d13d619ebf6bcb79a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(4x^3+5x^3)+2x^3 = 4x^3+(5x^3+2x^3) = 11x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"356\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Propriedade comutativa<\/strong> : sejam os mon\u00f4mios semelhantes ou n\u00e3o, a ordem das adendas n\u00e3o modifica o resultado da adi\u00e7\u00e3o.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0da51813f4f494dfbf0741fb01b1d81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^5+4x^5=4x^5+2x^5 = 6x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"223\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Elemento neutro<\/strong> : Obviamente, adicionar um mon\u00f4mio mais qualquer outro mon\u00f4mio com valor num\u00e9rico zero \u00e9 equivalente ao pr\u00f3prio mon\u00f4mio.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33dd9dd71d59b8a875c8d4e5473ac385_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^2+0=8x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"107\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Elemento oposto<\/strong> : o resultado da adi\u00e7\u00e3o de um mon\u00f4mio mais seu mon\u00f4mio oposto \u00e9 sempre zero. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ffe6fbb8ee7d9472576744ceb366acc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^4+(-6x^4)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Esta p\u00e1gina explica o que \u00e9 e como adicionar mon\u00f4mios (semelhantes ou n\u00e3o). Al\u00e9m disso, voc\u00ea poder\u00e1 ver exemplos e praticar com exerc\u00edcios passo a passo resolvidos sobre adi\u00e7\u00e3o de mon\u00f4mios. Por fim, voc\u00ea tamb\u00e9m encontrar\u00e1 a explica\u00e7\u00e3o de todas as propriedades da soma dos mon\u00f4mios. Como os mon\u00f4mios s\u00e3o adicionados? Dois ou mais mon\u00f4mios &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\"> <span class=\"screen-reader-text\">Soma de mon\u00f4mios<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-48","post","type-post","status-publish","format-standard","hentry","category-monomios"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Como \u00e9 feita a soma dos mon\u00f4mios? \u2705 (com exemplos)<\/title>\n<meta name=\"description\" content=\"Explica\u00e7\u00e3o do que \u00e9 e como adicionar mon\u00f4mios (semelhantes ou n\u00e3o). \u2705 Com exemplos e exerc\u00edcios resolvidos passo a passo. \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Como \u00e9 feita a soma dos mon\u00f4mios? \u2705 (com exemplos)\" \/>\n<meta property=\"og:description\" content=\"Explica\u00e7\u00e3o do que \u00e9 e como adicionar mon\u00f4mios (semelhantes ou n\u00e3o). \u2705 Com exemplos e exerc\u00edcios resolvidos passo a passo. \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T07:31:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-monomes-exemples.png\" \/>\n<meta name=\"author\" content=\"Equipe Mathoridade\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Equipe Mathoridade\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\"},\"author\":{\"name\":\"Equipe Mathoridade\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00\"},\"headline\":\"Soma de mon\u00f4mios\",\"datePublished\":\"2023-09-17T07:31:21+00:00\",\"dateModified\":\"2023-09-17T07:31:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\"},\"wordCount\":678,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/pt\/#organization\"},\"articleSection\":[\"Mon\u00f4mios\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\",\"url\":\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\",\"name\":\"\u25b7 Como \u00e9 feita a soma dos mon\u00f4mios? 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