\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
\n
Quadrado do bin\u00f3mio<\/strong><\/p>\n
\\[{\\left( {a + b} \\right)^2} = {a^2} + 2ab + {b^2}\\]<\/p>\n
O quadrado de um bin\u00f3mio obt\u00e9m-se adicionando o quadrado do primeiro mon\u00f3mio ao dobro do produto do primeiro mon\u00f3mio pelo segundo mon\u00f3mio e ao quadrado do segundo mon\u00f3mio.<\/p>\n<\/blockquote>\n
\u00a0<\/p>\n\n\n\n\n\n\n\n\n
a)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( {2x – 3} \\right)}^2}}& = &{{{\\left( {2x} \\right)}^2} + 2 \\times \\left( {2x} \\right) \\times \\left( { – 3} \\right) + {{\\left( { – 3} \\right)}^2}}\\\\{}& = &{4{x^2} – 12x + 9}\\end{array}\\)<\/td>\n<\/tr>\n
b)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( {x + 7} \\right)}^2}}& = &{{x^2} + 2 \\times x \\times 7 + {7^2}}\\\\{}& = &{{x^2} + 14x + 49}\\end{array}\\)<\/td>\n<\/tr>\n
c)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( {y + \\frac{1}{2}} \\right)}^2}}& = &{{y^2} + 2 \\times y \\times \\frac{1}{2} + {{\\left( {\\frac{1}{2}} \\right)}^2}}\\\\{}& = &{{y^2} + y + \\frac{1}{4}}\\end{array}\\)<\/td>\n<\/tr>\n
d)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( {4a – 3b} \\right)}^2}}& = &{{{\\left( {4a} \\right)}^2} + 2 \\times 4a \\times \\left( { – 3b} \\right) + {{\\left( { – 3b} \\right)}^2}}\\\\{}& = &{16{a^2} – 24ab + 9{b^2}}\\end{array}\\)<\/td>\n<\/tr>\n
e)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( { – x – 1} \\right)}^2}}& = &{{{\\left( { – x} \\right)}^2} + 2 \\times \\left( { – x} \\right) \\times \\left( { – 1} \\right) + {{\\left( { – 1} \\right)}^2}}\\\\{}& = &{{x^2} + 2x + 1}\\end{array}\\)<\/td>\n<\/tr>\n
f)<\/td>\n \\(\\begin{array}{*{20}{l}}{{{\\left( {x + 1} \\right)}^2}}& = &{{x^2} + 2 \\times x \\times 1 + {1^2}}\\\\{}& = &{{x^2} + 2x + 1}\\end{array}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Calcula: \\({\\left( {2x – 3} \\right)^2}\\) \\({\\left( {x + 7} \\right)^2}\\) \\({\\left( {y + \\frac{1}{2}} \\right)^2}\\) \\({\\left( {4a – 3b} \\right)^2}\\) \\({\\left( { – x – 1} \\right)^2}\\) \\({\\left( {x +...<\/p>\n","protected":false},"author":1,"featured_media":14114,"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-24517","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":96,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat56.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24517","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=24517"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24517\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14114"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24517"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}