\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
(Vari\u00e1veis x e y e constantes a e b.)<\/p>\n\n\n\n\n\n\n\n\n\n
\u00a0<\/td>\n Polin\u00f3mio \/ Forma reduzida<\/strong><\/td>\n Grau<\/strong><\/td>\n Polin\u00f3mios iguais<\/strong><\/td>\n<\/tr>\n
1<\/td>\n \\[\\begin{array}{*{20}{l}}{3{x^2} + 8 + 5x – 13{x^2} + 7}& = &{\\left( {3 – 13} \\right){x^2} + 5x + \\left( {8 + 7} \\right)}\\\\{}& = &{ – 10{x^2} + 5x + 15}\\end{array}\\]<\/td>\n 2<\/td>\n \u00a0<\/td>\n<\/tr>\n
2<\/td>\n \\[\\begin{array}{*{20}{l}}{3{x^2}{y^2} + 4x + 4xy – {x^2}{y^2} + {y^2} + 2xy + x – 2{x^2}{y^2}}& = &{\\left( {3 – 1 – 2} \\right){x^2}{y^2} + {y^2} + \\left( {4 + 2} \\right)xy + \\left( {4 + 1} \\right)x}\\\\{}& = &{{y^2} + 6xy + 5x}\\end{array}\\]<\/td>\n 2<\/td>\n X<\/td>\n<\/tr>\n
3<\/td>\n \\[\\begin{array}{*{20}{l}}{3a{x^2} + 2by – {y^2} – 3by + a{x^2}}& = &{\\left( {3a + a} \\right){x^2} – {y^2} + \\left( {2b – 3b} \\right)y}\\\\{}& = &{4a{x^2} – {y^2} – by}\\end{array}\\]<\/td>\n 2<\/td>\n \u00a0<\/td>\n<\/tr>\n
4<\/td>\n \\[\\begin{array}{*{20}{l}}{2{x^2}{y^2} + 5x + 3xy – {x^2}y{}^2 + {y^2} + 3xy – x{}^2{y^2}}& = &{\\left( {2 – 1 – 1} \\right){x^2}{y^2} + {y^2} + \\left( {3 + 3} \\right)xy + 5x}\\\\{}& = &{{y^2} + 6xy + 5x}\\end{array}\\]<\/td>\n 2<\/td>\n X<\/td>\n<\/tr>\n
5<\/td>\n \\[\\begin{array}{*{20}{l}}{\\left( {{y^2} + 6xy + 5x} \\right) + \\left( {4a{x^2} – {y^2} – by} \\right)}& = &{{y^2} – {y^2} + 6xy + 5x + 4a{x^2} – by}\\\\{}& = &{4a{x^2} + 6xy + 5x – by}\\end{array}\\]<\/td>\n 2<\/td>\n \u00a0<\/td>\n<\/tr>\n
6<\/td>\n \\[\\begin{array}{*{20}{l}}{\\left( {{y^2} + 6xy + 5x} \\right) \\times \\left( {{y^2} + 6xy + 5x} \\right)}& = &{{y^4} + 6x{y^3} + 5x{y^2} + 6x{y^3} + 36{x^2}{y^2} + 30{x^2}y + 5x{y^2} + 30{x^2}y + 25{x^2}}\\\\{}& = &{{y^4} + 12x{y^3} + 36{x^2}{y^2} + 10x{y^2} + 60{x^2}y + 25{x^2}}\\end{array}\\]<\/td>\n 4<\/td>\n \u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u00a0<\/p>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Obt\u00e9m uma forma reduzida de cada um dos seguintes polin\u00f3mios (vari\u00e1veis x e y e constantes a e b), indicando o respetivo grau e identificando duas al\u00edneas em que se representam...<\/p>\n","protected":false},"author":1,"featured_media":19177,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[97,700],"tags":[424,703,704,705],"series":[],"class_list":["post-24488","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-monomios-semelhantes","tag-operacoes-com-monomios","tag-polinomios"],"views":197,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat68.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24488","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=24488"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24488\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19177"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24488"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24488"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}