Which of the following expressions is equivalent to ?
A
B
C
D
Correct answer: C
Explanation
Choice C is correct. The expression can be written as a difference of squares x2 – y2, which can be factored as (x + y)(x – y). Here, y2 = 5, so , and the expression therefore factors as .
Choices A and B are incorrect and may result from misunderstanding how to factor a difference of squares. Choice D is incorrect; (x + 5)(x – 1) can be rewritten as x2 + 4x – 5, which is not equivalent to the original expression.
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id cb_question_bank:14c2ac3b-aab7-4ff3-900d-48cc1692f527 · question a05bd3a4 · IBN 08064-DC
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