{"id":166406,"date":"2024-04-05T14:58:50","date_gmt":"2024-04-05T09:28:50","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166406"},"modified":"2024-04-05T14:58:51","modified_gmt":"2024-04-05T09:28:51","slug":"if-a%c2%b3-b%c2%b3-110-and-a-b-5-then-a-b%c2%b2-3ab-is-equal-to","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-a%c2%b3-b%c2%b3-110-and-a-b-5-then-a-b%c2%b2-3ab-is-equal-to\/","title":{"rendered":"If a\u00b3 + b\u00b3 = 110 and a + b = 5, then (a + b)\u00b2 \u2013 3ab is equal to"},"content":{"rendered":"\n<p>If a\u00b3 + b\u00b3 = 110 and a + b = 5, then (a + b)\u00b2 \u2013 3ab is equal to:<\/p>\n\n\n\n<p>a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 52<\/p>\n\n\n\n<p>b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32<\/p>\n\n\n\n<p>c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 42<\/p>\n\n\n\n<p><strong>d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 22<\/strong><\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>a + b = 5<\/p>\n\n\n\n<p>a\u00b3 + b\u00b3 = 110 \u21d2 (a + b) (a\u00b2 + b\u00b2 \u2013 ab) = 110<\/p>\n\n\n\n<p>a\u00b2 + b\u00b2 \u2013 ab = 22<\/p>\n\n\n\n<p>a\u00b2 + b\u00b2 + 2ab \u2013 3ab = 22<\/p>\n\n\n\n<p>(a + b)\u00b2 \u2013 3ab = 22<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If a\u00b3 + b\u00b3 = 110 and a + b = 5, then (a + b)\u00b2 \u2013 3ab is equal to: a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 52 b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32 c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 42 d)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 22 Sol: a + b = 5 a\u00b3 + b\u00b3 = 110 \u21d2 (a + b) (a\u00b2 + b\u00b2 \u2013 ab) = 110 a\u00b2 + b\u00b2 \u2013 [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166407,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-166406","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166406","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=166406"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166406\/revisions"}],"predecessor-version":[{"id":166408,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166406\/revisions\/166408"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166407"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166406"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=166406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}