{"id":24511,"date":"2023-02-22T23:35:28","date_gmt":"2023-02-22T23:35:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24511"},"modified":"2023-02-23T00:13:42","modified_gmt":"2023-02-23T00:13:42","slug":"escreve-na-forma-reduzida","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24511","title":{"rendered":"Escreve na forma reduzida"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24511' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24511' class='GTTabs_curr'><a  id=\"24511_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24511' ><a  id=\"24511_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_24511'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escreve na forma reduzida.<\/p>\n<table style=\"border-collapse: collapse; width: 99.8698%;\">\n<tbody>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">a)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(3 \\times 5x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">b)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(2a \\times \\left( { &#8211; a} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">c)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\( &#8211; 3yz \\times \\frac{1}{3}y\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">d)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\( &#8211; 2{x^2} \\times \\left( { &#8211; 5{x^3}} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">e)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(3{a^2}b \\times \\frac{{ab}}{3}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">f)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\({\\left( {{x^2}y} \\right)^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">g)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\({\\left( { &#8211; \\frac{1}{2}m{n^2}p} \\right)^3}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">h)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(2x\\left( {{x^2} + 3x &#8211; \\frac{1}{2}} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">i)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\( &#8211; 3x\\left( { &#8211; x + 4} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">j)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(\\left( {{x^2} &#8211; 7x} \\right) \\times \\frac{{{x^3}}}{2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">k)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(\\left( {n &#8211; 2} \\right)\\left( {n + 3} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">l)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(\\left( {3a &#8211; 1} \\right)\\left( {{a^2} + \\frac{1}{4}} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">m)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(\\left( {1 &#8211; m &#8211; {m^2}} \\right)\\left( {m + 2} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left; width: 2.73794%;\">n)<\/td>\n<td style=\"text-align: left; width: 97.1317%;\">\\(\\left( {\\frac{a}{2} &#8211; 3} \\right)\\left( {{a^2} &#8211; 6a} \\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24511' onClick='GTTabs_show(1,24511)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24511'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Escrevendo na forma reduzida, temos:<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 483px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">a)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(3 \\times 5x = 15x\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">b)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(2a \\times \\left( { &#8211; a} \\right) = &#8211; 2{a^2}\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">c)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\( &#8211; 3yz \\times \\frac{1}{3}y = &#8211; {y^2}z\\)<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"height: 41px;\">d)<\/td>\n<td style=\"text-align: left; height: 41px;\">\\( &#8211; 2{x^2} \\times \\left( { &#8211; 5{x^3}} \\right) = \\left( { &#8211; 2 \\times \\left( { &#8211; 5} \\right)} \\right) \\times \\left( {{x^2} \\times {x^3}} \\right) = 10{x^5}\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">e)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(3{a^2}b \\times \\frac{{ab}}{3} = {a^3}{b^2}\\)<\/td>\n<\/tr>\n<tr>\n<td>f)<\/td>\n<td style=\"text-align: left;\">\\({\\left( {{x^2}y} \\right)^2} = \\left( {{x^2}y} \\right) \\times \\left( {{x^2}y} \\right) = \\left( {{x^2} \\times {x^2}} \\right) \\times \\left( {y \\times y} \\right) = {x^4}{y^2}\\)\u00a0 ou\u00a0 \\({\\left( {{x^2}y} \\right)^2} = {\\left( {{x^2}} \\right)^2} \\times {\\left( y \\right)^2} = {x^4}{y^2}\\)<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"height: 41px;\">g)<\/td>\n<td style=\"text-align: left; height: 41px;\">\\({\\left( { &#8211; \\frac{1}{2}m{n^2}p} \\right)^3} = {\\left( { &#8211; \\frac{1}{2}} \\right)^3} \\times {\\left( m \\right)^3} \\times {\\left( {{n^2}} \\right)^3} \\times {\\left( p \\right)^3} = &#8211; \\frac{1}{8}{m^3}{n^6}{p^3}\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">h)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(2x\\left( {{x^2} + 3x &#8211; \\frac{1}{2}} \\right) = 2{x^3} + 6{x^2} &#8211; x\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">i)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\( &#8211; 3x\\left( { &#8211; x + 4} \\right) = 3{x^2} &#8211; 12x\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">j)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(\\left( {{x^2} &#8211; 7x} \\right) \\times \\frac{{{x^3}}}{2} = \\frac{{{x^5}}}{2} &#8211; \\frac{7}{2}{x^4}\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">k)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(\\left( {n &#8211; 2} \\right)\\left( {n + 3} \\right) = {n^2} + 3n &#8211; 2n &#8211; 6 = {n^2} + n &#8211; 6\\)<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"height: 41px;\">l)<\/td>\n<td style=\"text-align: left; height: 41px;\">\\(\\left( {3a &#8211; 1} \\right)\\left( {{a^2} + \\frac{1}{4}} \\right) = 3{a^3} + \\frac{3}{4}a &#8211; {a^2} &#8211; \\frac{1}{4} = 3{a^3} &#8211; {a^2} + \\frac{3}{4}a &#8211; \\frac{1}{4}\\)<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"height: 41px;\">m)<\/td>\n<td style=\"text-align: left; height: 41px;\">\\(\\left( {1 &#8211; m &#8211; {m^2}} \\right)\\left( {m + 2} \\right) = m + 2 &#8211; {m^2} &#8211; 2m &#8211; {m^3} &#8211; 2{m^2} = &#8211; {m^3} &#8211; 3{m^2} &#8211; m + 2\\)<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"height: 41px;\">n)<\/td>\n<td style=\"text-align: left; height: 41px;\">\\(\\left( {\\frac{a}{2} &#8211; 3} \\right)\\left( {{a^2} &#8211; 6a} \\right) = \\frac{{{a^3}}}{2} &#8211; 3{a^2} &#8211; 3{a^2} + 18a = \\frac{{{a^3}}}{2} &#8211; 6{a^2} + 18a\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24511' onClick='GTTabs_show(0,24511)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escreve na forma reduzida. a) \\(3 \\times 5x\\) b) \\(2a \\times \\left( { &#8211; a} \\right)\\) c) \\( &#8211; 3yz \\times \\frac{1}{3}y\\) d) \\( &#8211; 2{x^2} \\times \\left( { &#8211; 5{x^3}}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19171,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,194,195,705],"series":[],"class_list":["post-24511","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-monomios","tag-operacoes-com-polinomios","tag-polinomios"],"views":162,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat62.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24511","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24511"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24511\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24511"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24511"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}