{"id":49,"date":"2023-09-17T07:31:02","date_gmt":"2023-09-17T07:31:02","guid":{"rendered":"https:\/\/mathority.org\/pt\/subtracao-de-monomas-subtrair-exemplos-exercicios-resolvidos\/"},"modified":"2023-09-17T07:31:02","modified_gmt":"2023-09-17T07:31:02","slug":"subtracao-de-monomas-subtrair-exemplos-exercicios-resolvidos","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/subtracao-de-monomas-subtrair-exemplos-exercicios-resolvidos\/","title":{"rendered":"Subtra\u00e7\u00e3o de mon\u00f4mios"},"content":{"rendered":"<p>Neste artigo explicamos o que \u00e9 subtra\u00e7\u00e3o alg\u00e9brica de mon\u00f4mios (semelhantes ou n\u00e3o) e como faz\u00ea-la. Voc\u00ea tamb\u00e9m poder\u00e1 ver exemplos e, al\u00e9m disso, praticar com exerc\u00edcios resolvidos passo a passo para subtra\u00e7\u00e3o de mon\u00f4mios. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-restan-los-monomios\"><\/span> Como subtrair mon\u00f4mios? <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 subtra\u00eddos se forem semelhantes, ou seja, se os dois mon\u00f4mios tiverem parte literal id\u00eantica (mesmas letras e mesmos expoentes).<\/p>\n<p> Subtrair dois mon\u00f4mios semelhantes \u00e9 igual a outro mon\u00f4mio composto pela mesma parte literal e subtrair os 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\/soustraction-de-monomes-1.png\" alt=\"subtra\u00e7\u00e3o de mon\u00f4mios negativos\" class=\"wp-image-151\" width=\"184\" height=\"185\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Assim, ao subtrair um mon\u00f4mio menos outro mon\u00f4mio, obteremos sempre um mon\u00f4mio semelhante aos dois mon\u00f4mios que participaram da subtra\u00e7\u00e3o. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-restas-de-monomios\"><\/span> Exemplos de subtra\u00e7\u00e3o de mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Deixamos v\u00e1rios exemplos de subtra\u00e7\u00f5es entre mon\u00f4mios para que voc\u00ea possa entender perfeitamente como subtrair dois ou mais mon\u00f4mios. <\/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-7e86e28656f876d6ea1f50cbd4684066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^2-4x^2 = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"125\" style=\"vertical-align: 0px;\"><\/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-a9ec8bfbba34f677f360ccb878219239_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5y^3-y^3 = 4y^3\" 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-c071a5e19fd1de57f4024c5612f96257_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^6y-4x^6y = 4x^6y\" 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-69fde32b846bab61e9167755462b522d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10a^3b^4c^2-6a^3b^4c^2 = 4a^3b^4c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"223\" style=\"vertical-align: 0px;\"><\/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-a6fbd6276ab9dbbe276b17d4e785b4f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"11x^3-4x^3-5x^3=7x^3-5x^3=2x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Resumindo, apenas mon\u00f4mios semelhantes podem ser subtra\u00eddos. E, neste caso, apenas os coeficientes s\u00e3o subtra\u00eddos, ao contr\u00e1rio da parte literal que permanece a mesma.<\/p>\n<p> Quanto \u00e0s propriedades de subtra\u00e7\u00e3o de mon\u00f4mios, deve-se levar em conta que a subtra\u00e7\u00e3o n\u00e3o respeita as mesmas propriedades da adi\u00e7\u00e3o. Por exemplo, a subtra\u00e7\u00e3o de mon\u00f4mios n\u00e3o possui a propriedade associativa ou a propriedade comutativa que a adi\u00e7\u00e3o de mon\u00f4mios possui.<\/p>\n<p> Voc\u00ea pode ver as diferen\u00e7as entre esses dois tipos de opera\u00e7\u00f5es na explica\u00e7\u00e3o de como <a href=\"https:\/\/mathority.org\/pt\/soma-de-monomas-adicionar-exemplos-exercicios-resolvidos\/\"><strong><span style=\"text-decoration: underline;\">adicionar mon\u00f4mios<\/span><\/strong><\/a> , onde tamb\u00e9m encontrar\u00e1 as propriedades de adi\u00e7\u00e3o de mon\u00f4mios, bem como exemplos e exerc\u00edcios resolvidos. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Resta-de-monomios-no-semejantes\"><\/span> Subtra\u00e7\u00e3o de mon\u00f4mios diferentes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Acabamos de ver que apenas mon\u00f4mios semelhantes podem ser subtra\u00eddos. Portanto, se encontrarmos uma subtra\u00e7\u00e3o de <strong>mon\u00f4mios n\u00e3o semelhantes<\/strong> , ou seja, com expoente diferente ou com vari\u00e1vel (ou letra) diferente, n\u00e3o poderemos de forma alguma somar esses mon\u00f4mios. E, neste caso, devemos deixar a opera\u00e7\u00e3o indicada (sem resolu\u00e7\u00e3o).<\/p>\n<p> Veja o exemplo a seguir, no qual subtra\u00edmos mon\u00f4mios semelhantes de mon\u00f4mios 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-bbe9ec5a04f58fd681660e39ee1e5c33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^5-2x^3-3x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"123\" style=\"vertical-align: 0px;\"><\/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-de3e1961e070f0afe9e6c9a4065eb1b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^3\" 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 pode ser subtra\u00edda com os demais termos. No entanto, os outros dois mon\u00f4mios podem ser subtra\u00eddos um do outro, pois s\u00e3o semelhantes:<\/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-189a20f911c991489f279547bd11e99a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^5-3x^5-2x^3 = 5x^5-2x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Concluindo, quando subtra\u00edmos dois (ou mais) mon\u00f4mios n\u00e3o semelhantes, n\u00e3o podemos agrup\u00e1-los e, portanto, obtemos um polin\u00f4mio.<\/p>\n<p> Isto \u00e9 diferente quando multiplicamos mon\u00f4mios, uma vez que mon\u00f4mios semelhantes e mon\u00f4mios diferentes podem ser multiplicados. Deixamos esta p\u00e1gina para que voc\u00ea possa ver como \u00e9 feita a <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/multiplicacao-algebrica-de-monomas-multiplicacao-de-exemplos-e-exercicios-resolvidos\/\">multiplica\u00e7\u00e3o de mon\u00f4mios<\/a><\/span><\/strong> e quais as diferen\u00e7as entre a multiplica\u00e7\u00e3o e subtra\u00e7\u00e3o de mon\u00f4mios. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-resta-de-monomios\"><\/span> Exerc\u00edcios resolvidos sobre subtra\u00e7\u00e3o de mon\u00f4mios<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 1<\/h3>\n<p> Execute as seguintes subtra\u00e7\u00f5es monomiais:<\/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-c46018bd63ac2f71144e458ab8c7ea98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6x-4x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" 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-3d79d5ac8f02ad18847a99647fc5441f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -2xy^2-5xy^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-aa9e4ccb04b16778beac2c7699b1c3d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^3yz-3x^3yz\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-9cf193da24a1ce1705d75ba2cedf6757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 9a^4bc-7a^3b^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" 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-5f4740c833bc213f0ec9169c77f8efed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6x-4x =\\bm{2x}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"128\" 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-5bedc042226b9b642bb2c282ed84658b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -2xy^2-5xy^2= \\bm{-7xy^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" 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-b06bfc25a3aa9aa993361f53c3514a8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ x^3yz-3x^3yz = \\bm{-2x^3yz}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" 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-9cf193da24a1ce1705d75ba2cedf6757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 9a^4bc-7a^3b^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" 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 subtra\u00e7\u00f5es 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-e5444421bb8a08354b8140cff93b699b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6x^4-x^4-3x^4\" 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-6e2f9a9f74577905f4ad65ffeb69c685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 6abc-3abc-4abc-2abc\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"225\" 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-1410c92c830de20051879cc0f9a8dd02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 11t^3w^2-t^3w^2-5t^3w^2-4t^3w^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" 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-eac9f9980d9e714bfa02e980bc56ffc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 9a^3b -2a^3b-4a^3b-2a^3b\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"226\" 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-b6bda8832e51034029ece2105d6b73f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 6x^4-x^4-3x^4 = \\bm{2x^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-cbede7fe23c8a8a49f8a55f31b67bf3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 6abc-3abc-4abc-2abc= \\bm{-3abc}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"296\" 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-5317527ca808501eaac2a34efa3d479b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 11t^3w^2-t^3w^2-5t^3w^2-4t^3w^2 = \\bm{t^3w^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"324\" 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-1cb83df2b98001516929f87a9f9fb669_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 9a^3b -2a^3b-4a^3b-2a^3b = \\bm{a^3b}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"274\" 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 as seguintes subtra\u00e7\u00f5es monomiais tanto quanto poss\u00edvel: <\/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-7896ff849e41be08c55d74206f7e7948_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^7-4x^2-x^2-3x^7\" 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-008d445139d06ecc222bde2d729afa84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 6x^3y^2z-4xyz-2x^3y^2z-5x^3y^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"286\" 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-cf728ea2d232dd31ca03cecf1527ba83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 4ab^2c -3a^2bc-5ab^2c-ab^2c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-85dc3d401cfe7471e0256cdc1f0924aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 15y^6-3y^3-2y^6-2y^4-7y^3-9y^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"298\" 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 este exerc\u00edcio corretamente, voc\u00ea deve ter em mente que os mon\u00f4mios s\u00f3 podem ser subtra\u00eddos se forem semelhantes entre si; No entanto, quando os mon\u00f4mios n\u00e3o s\u00e3o semelhantes, eles n\u00e3o podem ser subtra\u00eddos. 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-4def3e228e2d3454be342b721597a2fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^7-4x^2-x^2-3x^7 = \\bm{2x^7-5x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"287\" 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-f0b6b0ab0ac05d986d905618b83acda1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 6x^3y^2z-4xyz-2x^3y^2z-5x^3y^2z = \\bm{-x^3y^2z-4xyz}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"426\" 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-d88a9a16d028500603dd6704c6fc047a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 4ab^2c -3a^2bc-5ab^2c-a^2bc = \\bm{-ab^2c-4a^2bc}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"380\" 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-b7805ebc6d278d495fe682f639052cfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 15y^6-3y^3-2y^6-2y^4-7y^3-9y^6 = \\bm{4y^6-2y^4-10y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"452\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Brilhante! Se voc\u00ea chegou at\u00e9 aqui, significa que j\u00e1 domina a subtra\u00e7\u00e3o de mon\u00f4mios. Mas saiba que voc\u00ea pode fazer outros tipos de <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 \ud83d\udc49\ud83d\udc49 com mon\u00f4mios<\/a><\/span><\/strong> \ud83d\udc48\ud83d\udc48 (e mais dif\u00edceis), por isso recomendamos que voc\u00ea acesse esta p\u00e1gina agora e veja como s\u00e3o calculadas outras opera\u00e7\u00f5es com mon\u00f4mios.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo explicamos o que \u00e9 subtra\u00e7\u00e3o alg\u00e9brica de mon\u00f4mios (semelhantes ou n\u00e3o) e como faz\u00ea-la. Voc\u00ea tamb\u00e9m poder\u00e1 ver exemplos e, al\u00e9m disso, praticar com exerc\u00edcios resolvidos passo a passo para subtra\u00e7\u00e3o de mon\u00f4mios. Como subtrair mon\u00f4mios? Dois ou mais mon\u00f4mios s\u00f3 podem ser subtra\u00eddos se forem semelhantes, ou seja, se os dois mon\u00f4mios &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/subtracao-de-monomas-subtrair-exemplos-exercicios-resolvidos\/\"> <span class=\"screen-reader-text\">Subtra\u00e7\u00e3o 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-49","post","type-post","status-publish","format-standard","hentry","category-monomios"],"yoast_head":"<!-- This site is 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