{"id":24427,"date":"2023-02-07T19:28:55","date_gmt":"2023-02-07T19:28:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24427"},"modified":"2023-02-07T20:11:15","modified_gmt":"2023-02-07T20:11:15","slug":"considera-os-seguintes-monomios","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24427","title":{"rendered":"Considera os seguintes mon\u00f3mios"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24427' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24427' class='GTTabs_curr'><a  id=\"24427_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24427' ><a  id=\"24427_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_24427'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Indica uma forma can\u00f3nica para cada um dos seguintes mon\u00f3mios e identifica os que s\u00e3o semelhantes e os que s\u00e3o iguais.<\/p>\n<p>Tem em considera\u00e7\u00e3o que \\(x\\), \\(y\\) e \\(z\\) s\u00e3o vari\u00e1veis, e \\(a\\) e \\(c\\) s\u00e3o n\u00fameros reais n\u00e3o nulos.<\/p>\n<ol>\n<li>\\(3xy{x^2}\\)<\/li>\n<li>\\(37zxx{y^3}\\)<\/li>\n<li>\\(3ay{x^3}\\)<\/li>\n<li>\\(2{y^2}x{y^3}\\)<\/li>\n<li>\\(\\frac{c}{5}\\)<\/li>\n<li>\\(37xzyx{y^2}\\)<\/li>\n<li>\\(13,4\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24427' onClick='GTTabs_show(1,24427)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24427'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\"><strong>Mon\u00f3mio<\/strong><\/td>\n<td style=\"width: 20%;\"><strong>Forma can\u00f3nica<\/strong><\/td>\n<td style=\"width: 20%;\"><strong>Igual a<\/strong><\/td>\n<td style=\"width: 20%;\"><strong>Semelhante a<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">1.<\/td>\n<td style=\"width: 20%;\">\\(3xy{x^2}\\)<\/td>\n<td style=\"width: 20%;\">\\(3{x^3}y\\)<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">3.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">2.<\/td>\n<td style=\"width: 20%;\">\\(37zxx{y^3}\\)<\/td>\n<td style=\"width: 20%;\">\\(37{x^2}{y^3}z\\)<\/td>\n<td style=\"width: 20%;\">6.<\/td>\n<td style=\"width: 20%;\">6.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">3.<\/td>\n<td style=\"width: 20%;\">\\(3ay{x^3}\\)<\/td>\n<td style=\"width: 20%;\">\\(3a{x^3}y\\)<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">1.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">4.<\/td>\n<td style=\"width: 20%;\">\\(2{y^2}x{y^3}\\)<\/td>\n<td style=\"width: 20%;\">\\(2x{y^5}\\)<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">5.<\/td>\n<td style=\"width: 20%;\">\\(2{y^2}x{y^3}\\)<\/td>\n<td style=\"width: 20%;\">\\(\\frac{1}{5}c\\)<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">7.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">6.<\/td>\n<td style=\"width: 20%;\">\\(37xzyx{y^2}\\)<\/td>\n<td style=\"width: 20%;\">\\(37{x^2}{y^3}z\\)<\/td>\n<td style=\"width: 20%;\">2.<\/td>\n<td style=\"width: 20%;\">2.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;\">7.<\/td>\n<td style=\"width: 20%;\">\\(13,4\\)<\/td>\n<td style=\"width: 20%;\">\\(13,4\\)<\/td>\n<td style=\"width: 20%;\">\u00a0<\/td>\n<td style=\"width: 20%;\">5.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24427' onClick='GTTabs_show(0,24427)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Indica uma forma can\u00f3nica para cada um dos seguintes mon\u00f3mios e identifica os que s\u00e3o semelhantes e os que s\u00e3o iguais. Tem em considera\u00e7\u00e3o que \\(x\\), \\(y\\) e \\(z\\) s\u00e3o vari\u00e1veis,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19269,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,194,703],"series":[],"class_list":["post-24427","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-monomios-semelhantes"],"views":204,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat90.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24427","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=24427"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24427\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19269"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24427"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}