Which expression is equivalent to (8x 3 + 8) − (x 3 − 2) ?

Question

Accepted Answer

Choice B is correct. The given expression is equivalent to 8x 3 + 8 − x 3 − (−2), or 8x 3 + 8 − x 3 + 2. Combining like terms in this expression yields 7x 3 + 10. Choice A is incorrect. This expression is equivalent to (8x 3 + 8) − 2, not (8x 3 + 8) − (x 3 − 2). Choice C is incorrect. This expression is equivalent to (8x 3 + 8) − (−2), not (8x 3 + 8) − (x 3 − 2). Choice D is incorrect. This expression is equivalent to (8x 3 + 8) − (x 3 + 2), not (8x 3 + 8) − (x 3 − 2).

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