{"id":24529,"date":"2023-03-07T19:27:41","date_gmt":"2023-03-07T19:27:41","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24529"},"modified":"2023-03-07T19:50:17","modified_gmt":"2023-03-07T19:50:17","slug":"calcula-12","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24529","title":{"rendered":"Calcula"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24529' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24529' class='GTTabs_curr'><a  id=\"24529_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24529' ><a  id=\"24529_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_24529'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula:<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%;\">\\(\\left( {x + 5} \\right)\\left( {x &#8211; 5} \\right)\\)<\/td>\n<td style=\"width: 33.3333%;\">\\(\\left( {2x &#8211; 1} \\right)\\left( {2x + 1} \\right)\\)<\/td>\n<td style=\"width: 33.3333%;\">\\(\\left( {1 &#8211; x} \\right)\\left( {1 + x} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">\\(\\left( {1 &#8211; \\frac{1}{2}x} \\right)\\left( {1 + \\frac{1}{2}x} \\right)\\)<\/td>\n<td style=\"width: 33.3333%;\">\\(\\left( {4xy &#8211; 3} \\right)\\left( {4xy + 3} \\right)\\)<\/td>\n<td style=\"width: 33.3333%;\">\\(\\left( {4 + 3x} \\right)\\left( {4 &#8211; 3x} \\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_24529' onClick='GTTabs_show(1,24529)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24529'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><strong>Produto da soma de dois mon\u00f3mios pela sua diferen\u00e7a<\/strong><\/p>\n<p>\\[\\left( {a + b} \\right)\\left( {a &#8211; b} \\right) = {a^2} &#8211; {b^2}\\]<\/p>\n<p>O produto da da soma de dois mon\u00f3mios pela sua diferen\u00e7a \u00e9 igual \u00e0 diferen\u00e7a dos seus quadrados.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td style=\"vertical-align: top;\">a)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {x + 5} \\right)\\left( {x &#8211; 5} \\right)}&amp; = &amp;{{x^2} &#8211; {5^2}}\\\\{}&amp; = &amp;{{x^2} &#8211; 25}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">b)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {2x &#8211; 1} \\right)\\left( {2x + 1} \\right)}&amp; = &amp;{{{\\left( {2x} \\right)}^2} &#8211; {1^2}}\\\\{}&amp; = &amp;{4{x^2} &#8211; 1}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">c)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {1 &#8211; x} \\right)\\left( {1 + x} \\right)}&amp; = &amp;{{1^2} &#8211; {x^2}}\\\\{}&amp; = &amp;{1 &#8211; {x^2}}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">d)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {1 &#8211; \\frac{1}{2}x} \\right)\\left( {1 + \\frac{1}{2}x} \\right)}&amp; = &amp;{{1^2} &#8211; {{\\left( {\\frac{1}{2}x} \\right)}^2}}\\\\{}&amp; = &amp;{1 &#8211; \\frac{1}{4}{x^2}}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">e)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {4xy &#8211; 3} \\right)\\left( {4xy + 3} \\right)}&amp; = &amp;{{{\\left( {4xy} \\right)}^2} &#8211; {3^2}}\\\\{}&amp; = &amp;{16{x^2}{y^2} &#8211; 9}\\end{array}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"vertical-align: top;\">f)<\/td>\n<td style=\"text-align: left;\">\\(\\begin{array}{*{20}{l}}{\\left( {4 + 3x} \\right)\\left( {4 &#8211; 3x} \\right)}&amp; = &amp;{{4^2} &#8211; {{\\left( {3x} \\right)}^2}}\\\\{}&amp; = &amp;{16 &#8211; 9{x^2}}\\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24529' onClick='GTTabs_show(0,24529)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula: \\(\\left( {x + 5} \\right)\\left( {x &#8211; 5} \\right)\\) \\(\\left( {2x &#8211; 1} \\right)\\left( {2x + 1} \\right)\\) \\(\\left( {1 &#8211; x} \\right)\\left( {1 + x} \\right)\\) \\(\\left( {1 &#8211;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19188,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,196,194],"series":[],"class_list":["post-24529","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-casos-notaveis","tag-monomios"],"views":106,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat74.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24529","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=24529"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24529\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24529"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}