{"id":18138,"date":"2026-05-02T22:20:26","date_gmt":"2026-05-02T16:20:26","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/symmetric-expression-in-two-roots-8\/"},"modified":"2026-05-02T22:20:26","modified_gmt":"2026-05-02T16:20:26","slug":"symmetric-expression-in-two-roots-8","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/symmetric-expression-in-two-roots-8\/","title":{"rendered":"Symmetric Expression In Two Roots 8"},"content":{"rendered":"<p>If \u03b1+\u03b2=3 and \u03b1\u03b2=6, find \u03b1^3+\u03b2^3.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-3<\/li>\n<li>-27<\/li>\n<li>162<\/li>\n<li>81<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-18138","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Use the standard identity for the sum of cubes: \u03b1^3+\u03b2^3 = (\u03b1+\u03b2)^3 - 3\u03b1\u03b2(\u03b1+\u03b2). This identity is useful because the problem already gives the sum and product of the two roots. Here, Use \u03b1^3+\u03b2^3=(\u03b1+\u03b2)^3-3\u03b1\u03b2(\u03b1+\u03b2). Thus 3^3-3(6)(3)=-27. Be careful with negative signs when cubing the sum and multiplying the product term.","mcq_options":[{"right":"no","answer":"-3"},{"right":"yes","answer":"-27"},{"right":"no","answer":"162"},{"right":"no","answer":"81"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=18138"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18138"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18138"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18138"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}