{"id":17586,"date":"2026-05-02T18:10:32","date_gmt":"2026-05-02T12:10:32","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-12\/"},"modified":"2026-05-02T18:10:32","modified_gmt":"2026-05-02T12:10:32","slug":"algebraic-fraction-simplification-12","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-12\/","title":{"rendered":"Algebraic Fraction Simplification 12"},"content":{"rendered":"<p>Simplify: (x^2 &#8211; 1)\/(x &#8211; 1), where x \u2260 1.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>x &#8211; 1<\/li>\n<li>x + 1<\/li>\n<li>1\/(x + 1)<\/li>\n<li>x^2 + 1<\/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-17586","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-algebraic-fractions","subject-mathematics","education_level-ssc"],"mcq_note":"First recognize the numerator as a difference of squares: a^2 - b^2 = (a - b)(a + b). After factoring, one factor is common with the denominator, so it can be cancelled. Use difference of squares: x^2 - 1 = (x - 1)(x + 1), then cancel x - 1. The restriction given in the question only prevents division by zero. The simplified answer is x + 1.","mcq_options":[{"right":"no","answer":"x - 1"},{"right":"yes","answer":"x + 1"},{"right":"no","answer":"1\/(x + 1)"},{"right":"no","answer":"x^2 + 1"}],"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\/17586","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=17586"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17586"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17586"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17586"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}