{"id":116123,"date":"2020-01-29T18:21:48","date_gmt":"2020-01-29T17:21:48","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/algebra\/binomio-cubo.html"},"modified":"2020-01-29T18:21:48","modified_gmt":"2020-01-29T17:21:48","slug":"binomio-cubo","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\/binomio-cubo.html","title":{"rendered":"Binomio al cubo"},"content":{"rendered":"<section style=\"\">\n<h3 class=\"v\" style=\" text-align:left; margin-left:5%;\">Binomio de suma al cubo<\/h3>\n<p class=\"\">Un <strong>binomio al cubo<\/strong> (suma) es igual al cubo del primero, <strong>m\u00e1s<\/strong> el triple del cuadrado del primero por el segundo, <strong>m\u00e1s<\/strong> el triple del primero por el cuadrado del segundo, <strong>m\u00e1s<\/strong> el cubo del segundo.<\/p>\n<p class=\"\"><strong>(a +  b)<sup>3<\/sup> = a<sup>3<\/sup>  + 3 \u00b7 a<sup>2<\/sup> \u00b7 b + 3 \u00b7 a \u00b7 b<sup>2<\/sup> +  b<sup>3<\/sup><\/strong><\/p>\n<p class=\"\">(x + 3)<sup>3<\/sup> = x <sup>3<\/sup> + 3 \u00b7 x<sup>2<\/sup> \u00b7 3 + 3 \u00b7 x\u00b7 3<sup>2 <\/sup>+ 3<sup>3<\/sup> =<\/p>\n<p class=\"\">= x<sup>3<\/sup> + 9x<sup>2<\/sup> + 27x  + 27 <\/p>\n<h3 class=\"v\" style=\"clear:left; text-align:left; margin-left:5%;\">Binomio de resta al cubo<\/h3>\n<p class=\"\">Un <strong>binomio al cubo<\/strong> (resta) es igual al cubo del primero,  <strong>menos<\/strong> el triple del cuadrado del primero por el segundo, <strong>m\u00e1s<\/strong> el triple del primero por el cuadrado del segundo,  <strong>menos<\/strong> el cubo del segundo.<\/p>\n<p class=\"actividades_2_g_ir\"><strong>(a \u2212 b)<sup>3<\/sup> = a<sup>3<\/sup> \u2212 3 \u00b7 a<sup>2<\/sup> \u00b7 b + 3 \u00b7 a \u00b7 b<sup>2<\/sup> \u2212                            b<sup>3<\/sup><\/strong><\/p>\n<p class=\"actividades_2_v\">(2x \u2212 3)<sup>3<\/sup> = (2x)<sup>3<\/sup> \u2212  3 \u00b7 (2x)<sup>2<\/sup> \u00b73 + 3 \u00b7 2x\u00b7 3<sup>2<\/sup> \u2212 3<sup>3 <\/sup>=<\/p>\n<p class=\"actividades_2_v\">=  8x <sup>3<\/sup> \u2212 36 x<sup>2<\/sup> + 54 x  \u2212 27 <\/p>\n<p><\/p>\n<h2 class=\"t\">Ejemplos<\/h2>\n<p class=\"actividades\">\n<h2>1<\/h2>\n<p>(x + 2)<sup>3<\/sup> = x<sup>3<\/sup> + 3 \u00b7 x<sup>2<\/sup> \u00b7 2 + 3 \u00b7 x \u00b7 2<sup>2 <\/sup>+ 2<sup>3<\/sup> =   <\/p>\n<p class=\"actividades_2_v\">= x<sup>3<\/sup> + 6x<sup>2<\/sup> + 12x  + 8 <\/p>\n<p class=\"actividades\">\n<h2>2<\/h2>\n<p>(3x \u2212 2)<sup>3<\/sup> = (3x)<sup>3<\/sup>  \u2212 3 \u00b7 (3x)<sup>2<\/sup> \u00b7 2  + 3 \u00b7 3x \u00b7 2<sup>2<\/sup>  \u2212 2<sup>3<\/sup> =  <\/p>\n<p class=\"actividades_2_v\">= 27x <sup>3<\/sup> \u2212 54x<sup>2<\/sup> + 36x   \u2212 8 <\/p>\n<p class=\"actividades\">\n<h2>3<\/h2>\n<p>(2x + 5)<sup>3<\/sup> = (2x)<sup>3<\/sup> +  3 \u00b7 (2x)<sup>2<\/sup> \u00b75  + 3 \u00b7 2x \u00b7 5<sup>2<\/sup> + 5<sup>3<\/sup> =  <\/p>\n<p class=\"actividades_2_v\">= 8x<sup>3<\/sup> + 60 x<sup>2<\/sup> + 150 x  + 125 <\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Binomio de suma al cubo Un binomio al cubo (suma) es igual al cubo del primero, m\u00e1s el triple del cuadrado del primero por el segundo, m\u00e1s el triple del primero por el cuadrado del segundo, m\u00e1s el cubo del segundo. (a + b)3 = a3 + 3 \u00b7 a2 \u00b7 b + 3 \u00b7 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[378],"tags":[385],"class_list":["post-116123","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-b"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">\u00c1lgebra<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">\u00c1lgebra<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">b<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">b<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 6 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 29 enero 2020"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 21 min","modified":"Actualizado el 29 enero 2020 18 h 21 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116123","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=116123"}],"version-history":[{"count":0,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116123\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=116123"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=116123"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=116123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}