{"id":17609,"date":"2026-05-02T18:21:57","date_gmt":"2026-05-02T12:21:57","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-35\/"},"modified":"2026-05-02T18:21:57","modified_gmt":"2026-05-02T12:21:57","slug":"algebraic-fraction-simplification-35","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/algebraic-fraction-simplification-35\/","title":{"rendered":"Algebraic Fraction Simplification 35"},"content":{"rendered":"<p>Simplify: (x^2 + 4x + 4)\/(x + 2), where x \u2260 -2.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>x &#8211; 2<\/li>\n<li>x^2 + 2<\/li>\n<li>x + 2<\/li>\n<li>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-17609","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-algebraic-fractions","subject-mathematics","education_level-ssc"],"mcq_note":"Start by recognizing the numerator as a perfect-square trinomial. The numerator is (x + 2)^2. Cancel one common factor x + 2. One matching factor appears in both the numerator and denominator, so we cancel only that common factor. The expression left after cancellation is x + 2.","mcq_options":[{"right":"no","answer":"x - 2"},{"right":"no","answer":"x^2 + 2"},{"right":"yes","answer":"x + 2"},{"right":"no","answer":"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\/17609","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=17609"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17609"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17609"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17609"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17609"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}