{"id":24558,"date":"2023-03-08T10:12:30","date_gmt":"2023-03-08T10:12:30","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24558"},"modified":"2023-03-09T19:26:23","modified_gmt":"2023-03-09T19:26:23","slug":"transforma-as-seguintes-expressoes-em-produtos-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24558","title":{"rendered":"Transforma as seguintes express\u00f5es em produtos"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24558' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24558' class='GTTabs_curr'><a  id=\"24558_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24558' ><a  id=\"24558_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_24558'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Transforma as seguintes express\u00f5es em produtos, colocando todos os fatores comuns em evid\u00eancia.<\/p>\n<table style=\"width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 5.07813%;\">a)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(mx + nx\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">b)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(6 + 3x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">c)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(4a &#8211; 8\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">d)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(5x &#8211; 10{x^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">e)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(8{x^2} + 2x &#8211; 4\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">f)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(5{a^3} &#8211; 15{a^2} + 5a\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">g)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(\\frac{1}{5}{x^3} &#8211; 3{x^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">h)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(3\\left( {x &#8211; 5} \\right) + x\\left( {x &#8211; 5} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">i)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(\\frac{1}{2}\\left( {x &#8211; 2} \\right) + \\left( {x &#8211; 2} \\right)x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">j)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\({\\left( {x + 7} \\right)^2} &#8211; \\left( {x + 7} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">k)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\({\\left( {x &#8211; 2} \\right)^2} &#8211; 2\\left( {x &#8211; 2} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.07813%;\">l)<\/td>\n<td style=\"text-align: left; width: 94.0104%;\">\\(6 + 2y + 3x + xy\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24558' onClick='GTTabs_show(1,24558)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24558'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>As seguintes express\u00f5es est\u00e3o transformadas em produtos, colocando-se todos os fatores comuns em evid\u00eancia.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 235px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">a)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(mx + nx = \\left( {m + n} \\right)x\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">b)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(6 + 3x = 3\\left( {2 + x} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">c)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(4a &#8211; 8 = 4\\left( {a &#8211; 2} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">d)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(5x &#8211; 10{x^2} = 5x\\left( {1 &#8211; 2x} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 15px;\">\n<td style=\"height: 15px;\">e)<\/td>\n<td style=\"text-align: left; height: 15px;\">\\(8{x^2} + 2x &#8211; 4 = 2\\left( {4{x^2} + x &#8211; 2} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">f)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(5{a^3} &#8211; 15{a^2} + 5a = 5a\\left( {{a^2} &#8211; 3a + 1} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">g)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(\\frac{1}{5}{x^3} &#8211; 3{x^2} = \\left( {\\frac{1}{5}x &#8211; 3} \\right){x^2}\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">h)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(3\\left( {x &#8211; 5} \\right) + x\\left( {x &#8211; 5} \\right) = \\left( {x &#8211; 5} \\right)\\left( {3 + x} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">i)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(\\frac{1}{2}\\left( {x &#8211; 2} \\right) + \\left( {x &#8211; 2} \\right)x = \\left( {x &#8211; 2} \\right)\\left( {\\frac{1}{2} + x} \\right)\\)<\/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 + 7} \\right)^2} &#8211; \\left( {x + 7} \\right) = \\left( {x + 7} \\right)\\left[ {\\left( {x + 7} \\right) &#8211; 1} \\right] = \\left( {x + 7} \\right)\\left( {x + 6} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">k)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\({\\left( {x &#8211; 2} \\right)^2} &#8211; 2\\left( {x &#8211; 2} \\right) = \\left( {x &#8211; 2} \\right)\\left[ {\\left( {x &#8211; 2} \\right) &#8211; 2} \\right] = \\left( {x &#8211; 2} \\right)\\left( {x &#8211; 4} \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"height: 20px;\">l)<\/td>\n<td style=\"text-align: left; height: 20px;\">\\(6 + 2y + 3x + xy = 2\\left( {3 + y} \\right) + x\\left( {3 + y} \\right) = \\left( {3 + y} \\right)\\left( {2 + x} \\right)\\)<\/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_24558' onClick='GTTabs_show(0,24558)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Transforma as seguintes express\u00f5es em produtos, colocando todos os fatores comuns em evid\u00eancia. a) \\(mx + nx\\) b) \\(6 + 3x\\) c) \\(4a &#8211; 8\\) d) \\(5x &#8211; 10{x^2}\\) e) \\(8{x^2}&#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":[424,197,705],"series":[],"class_list":["post-24558","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-decomposicao-em-factores","tag-polinomios"],"views":117,"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\/24558","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=24558"}],"version-history":[{"count":1,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24558\/revisions"}],"predecessor-version":[{"id":24565,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24558\/revisions\/24565"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19171"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24558"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}