{"id":21222,"date":"2026-05-25T22:27:00","date_gmt":"2026-05-25T16:27:00","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/use-an-algebraic-identity-to-expand-6\/"},"modified":"2026-05-25T22:27:00","modified_gmt":"2026-05-25T16:27:00","slug":"use-an-algebraic-identity-to-expand-6","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/use-an-algebraic-identity-to-expand-6\/","title":{"rendered":"Use an algebraic identity to expand"},"content":{"rendered":"<p>Expand and simplify: (x &#8211; 5)\u00b2.<\/p>\n<ul class=\"quiz-options\">\n<li>x\u00b2 &#8211; 25<\/li>\n<li>x\u00b2 &#8211; 5x + 25<\/li>\n<li>x\u00b2 &#8211; 10x + 25<\/li>\n<li>x\u00b2 + 10x + 25<\/li>\n<li>x\u00b2 + 25<\/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-21222","mcq","type-mcq","status-publish","hentry","topic-algebraic-identities","topic-polynomials","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Use (a \u2212 b)\u00b2 = a\u00b2 \u2212 2ab + b\u00b2. The last term is positive because (\u22125) \u00d7 (\u22125) = 25. When squaring a subtraction, the middle term is negative but the last term is positive because a negative times a negative is positive. Expanding the chosen answer is a good check that it returns the original expression. The correct answer is x\u00b2 - 10x + 25, which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"x\u00b2 - 25"},{"right":"no","answer":"x\u00b2 - 5x + 25"},{"right":"yes","answer":"x\u00b2 - 10x + 25"},{"right":"no","answer":"x\u00b2 + 10x + 25"},{"right":"no","answer":"x\u00b2 + 25"}],"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\/21222","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=21222"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21222"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21222"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21222"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}