{"id":21188,"date":"2026-05-25T22:26:58","date_gmt":"2026-05-25T16:26:58","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/use-an-algebraic-identity-to-expand\/"},"modified":"2026-05-25T22:26:58","modified_gmt":"2026-05-25T16:26:58","slug":"use-an-algebraic-identity-to-expand","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/use-an-algebraic-identity-to-expand\/","title":{"rendered":"Use an algebraic identity to expand"},"content":{"rendered":"<p>Expand and simplify: (x + 6)\u00b2.<\/p>\n<ul class=\"quiz-options\">\n<li>x\u00b2 + 6x + 36<\/li>\n<li>x\u00b2 + 12x + 36<\/li>\n<li>2x + 12<\/li>\n<li>x\u00b2 + 36<\/li>\n<li>x\u00b2 + 12x &#8211; 36<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2708,2738],"subject":[2750],"education_level":[1894],"class_list":["post-21188","mcq","type-mcq","status-publish","hentry","topic-algebraic-identities","topic-polynomials","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Use (a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2. Here a = x and b = 6, so the middle term is 2 \u00d7 x \u00d7 6 = 12x. When squaring a binomial, remember that the middle term comes from multiplying the two terms together twice. That is why the middle term is 2ab. Expanding the chosen answer is a good check that it returns the original expression. The correct answer is x\u00b2 + 12x + 36, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"x\u00b2 + 6x + 36"},{"right":"yes","answer":"x\u00b2 + 12x + 36"},{"right":"no","answer":"2x + 12"},{"right":"no","answer":"x\u00b2 + 36"},{"right":"no","answer":"x\u00b2 + 12x - 36"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2708,"title":"Algebraic Identities","slug":"algebraic-identities"},{"id":2738,"title":"Polynomials","slug":"polynomials"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21188","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=21188"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21188"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21188"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21188"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}