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For all -

"}}]]}],["$","$L1a",null,{"question":{"id":"0LnejXq1Of","slot":22,"body":"

For all -

","answer":"To solve the given expression, first factorize the numerator and the denominator. The numerator x² - 4 can be written as (x + 2)(x - 2), and the denominator x² - 2x can be written as x(x - 2). Therefore, the expression becomes [(x + 2)(x - 2)] / [x(x - 2)]. The (x - 2) terms cancel each other out, leaving (x + 2) / x. Then, this can be separated into x / x + 2 / x, which simplifies to 1 + 2 / x. Therefore, the correct answer is 1 + 2 / x.","exam_id":"gre-section-2-quantitative","o_id":"132510-exam-gre-section-2-quantitative-topic-2-question-33","o_answer_long":"

","o_answer_short":"

Factor the numerator and the denominator. (The numerator provides a difference of two squares.) Simplify, then distribute the resulting denominator to both terms in the numerator:

","o_sect":2,"o_slot":33,"is_published":true,"created_at":"$D2024-07-23T02:34:08.091Z","updated_at":"$D2024-07-30T09:31:34.780Z","last_comment_at":"$D2024-01-31T05:01:00.000Z","options":[{"id":"SHaHmKa0Py","o_is_correct":false,"slot":0,"body":"

Option A

","is_correct":false,"question_id":"0LnejXq1Of","created_at":"$D2024-07-23T02:34:08.105Z","updated_at":"$D2024-07-30T10:06:55.385Z"},{"id":"zqfHCSyGG1","o_is_correct":false,"slot":1,"body":"

Option B

","is_correct":false,"question_id":"0LnejXq1Of","created_at":"$D2024-07-23T02:34:08.105Z","updated_at":"$D2024-07-30T10:06:55.385Z"},{"id":"Ce5e4GWrjv","o_is_correct":false,"slot":2,"body":"

Option C

","is_correct":false,"question_id":"0LnejXq1Of","created_at":"$D2024-07-23T02:34:08.105Z","updated_at":"$D2024-07-30T10:06:55.385Z"},{"id":"SLXv0ivWnW","o_is_correct":false,"slot":3,"body":"

Option D

","is_correct":false,"question_id":"0LnejXq1Of","created_at":"$D2024-07-23T02:34:08.105Z","updated_at":"$D2024-07-30T10:06:55.385Z"},{"id":"O0CPbuDqTy","o_is_correct":true,"slot":4,"body":"

Option E

","is_correct":true,"question_id":"0LnejXq1Of","created_at":"$D2024-07-23T02:34:08.105Z","updated_at":"$D2024-07-30T10:06:55.385Z"}],"exam":{"code":"GRE Section 2 Quantitative","id":"gre-section-2-quantitative"}},"totalCorrect":1,"answers":[4],"answer":"

Factor the numerator and the denominator. (The numerator provides a difference of two squares.) Simplify, then distribute the resulting denominator to both terms in the numerator:

","isHTML":true}]]}],"$L1b"]}]}]