{"id":24754,"date":"2023-04-02T19:05:24","date_gmt":"2023-04-02T18:05:24","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24754"},"modified":"2023-04-02T19:26:12","modified_gmt":"2023-04-02T18:26:12","slug":"calcula-13","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24754","title":{"rendered":"Calcula"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24754' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24754' class='GTTabs_curr'><a  id=\"24754_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24754' ><a  id=\"24754_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_24754'>\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: 2.86458%;\">a)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\({\\left( {x &#8211; 1} \\right)^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">b)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\({\\left( {1 &#8211; x} \\right)^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">c)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\({\\left( {\\frac{{3y}}{2} + 1} \\right)^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">d)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\({\\left( {4x &#8211; 3} \\right)^2}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">e)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\(\\left( {2 &#8211; x} \\right)\\left( {2 + x} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">f)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\(\\left( {2xy + \\frac{1}{2}} \\right)\\left( {2xy &#8211; \\frac{1}{2}} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">g)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\(\\left( { &#8211; 1 + x} \\right)\\left( { &#8211; 1 &#8211; x} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">h)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\(\\left( {2x + 1} \\right)\\left( { &#8211; 2x + 1} \\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_24754' onClick='GTTabs_show(1,24754)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24754'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>O c\u00e1lculo est\u00e1 apresentado abaixo:<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 2.86458%;\">a)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[{\\left( {x &#8211; 1} \\right)^2} = {x^2} + 2 \\times x \\times \\left( { &#8211; 1} \\right) + {\\left( { &#8211; 1} \\right)^2} = {x^2} &#8211; 2x + 1\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">b)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[{\\left( {1 &#8211; x} \\right)^2} = {1^2} + 2 \\times 1 \\times \\left( { &#8211; x} \\right) + {\\left( { &#8211; x} \\right)^2} = 1 &#8211; 2x + {x^2}\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">c)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[{\\left( {\\frac{{3y}}{2} + 1} \\right)^2} = {\\left( {\\frac{{3y}}{2}} \\right)^2} + 2 \\times \\frac{{3y}}{2} \\times 1 + {1^2} = \\frac{9}{4}{y^2} + 3y + 1\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">d)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[{\\left( {4x &#8211; 3} \\right)^2} = {\\left( {4x} \\right)^2} + 2 \\times 4x \\times \\left( { &#8211; 3} \\right) + {\\left( { &#8211; 3} \\right)^2} = 16{x^2} &#8211; 24x + 9\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">e)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[\\left( {2 &#8211; x} \\right)\\left( {2 + x} \\right) = {2^2} &#8211; {x^2} = 4 &#8211; {x^2}\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">f)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[\\left( {2xy + \\frac{1}{2}} \\right)\\left( {2xy &#8211; \\frac{1}{2}} \\right) = {\\left( {2xy} \\right)^2} &#8211; {\\left( {\\frac{1}{2}} \\right)^2} = 4{x^2}{y^2} &#8211; \\frac{1}{4}\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">g)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[\\left( { &#8211; 1 + x} \\right)\\left( { &#8211; 1 &#8211; x} \\right) = {\\left( { &#8211; 1} \\right)^2} &#8211; {x^2} = 1 &#8211; {x^2}\\]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">h)<\/td>\n<td style=\"text-align: left; width: 97.0052%;\">\\[\\left( {2x + 1} \\right)\\left( { &#8211; 2x + 1} \\right) = &#8211; {\\left( {2x} \\right)^2} + {1^2} = 1 &#8211; 4{x^2}\\]<\/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_24754' onClick='GTTabs_show(0,24754)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula: a) \\({\\left( {x &#8211; 1} \\right)^2}\\) b) \\({\\left( {1 &#8211; x} \\right)^2}\\) c) \\({\\left( {\\frac{{3y}}{2} + 1} \\right)^2}\\) d) \\({\\left( {4x &#8211; 3} \\right)^2}\\) e) \\(\\left( {2 &#8211; x} \\right)\\left(&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19178,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,195,705],"series":[],"class_list":["post-24754","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-operacoes-com-polinomios","tag-polinomios"],"views":114,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat69.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24754","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=24754"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24754\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19178"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24754"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}