{"id":17606,"date":"2026-05-02T18:21:33","date_gmt":"2026-05-02T12:21:33","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-32\/"},"modified":"2026-05-02T18:21:33","modified_gmt":"2026-05-02T12:21:33","slug":"algebraic-fraction-simplification-32","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-32\/","title":{"rendered":"Algebraic Fraction Simplification 32"},"content":{"rendered":"<p>Simplify: (x^2 &#8211; 64)\/(x &#8211; 8), where x \u2260 8. [Unique SSC algebra item 4]<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>x &#8211; 8<\/li>\n<li>1\/(x + 8)<\/li>\n<li>x^2 + 8<\/li>\n<li>x + 8<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2716],"subject":[1425],"education_level":[1895],"class_list":["post-17606","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-algebraic-fractions","subject-mathematics","education_level-ssc"],"mcq_note":"Look at the numerator first. It is a difference of two squares, so it can be factored before division. Use difference of squares: x^2 - 64 = (x - 8)(x + 8), then cancel x - 8. The condition in the question tells us the cancelled factor is not zero, so cancellation is allowed. Therefore the simplified expression is x + 8.","mcq_options":[{"right":"no","answer":"x - 8"},{"right":"no","answer":"1\/(x + 8)"},{"right":"no","answer":"x^2 + 8"},{"right":"yes","answer":"x + 8"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2716,"title":"Algebraic Fractions","slug":"algebraic-fractions"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17606","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=17606"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17606"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17606"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17606"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}