Which expression is equivalent to y + 12 x - 8 + y x - 8 x 2 y -

Question

Which expression is equivalent to y + 12 x - 8 + y x - 8 x 2 y - 8 x y ?

Accepted Answer

Choice C is correct. Factoring the denominator in the second term of the given expression gives y + 12 x - 8 + y x - 8 x y x - 8 . This expression can be rewritten with common denominators by multiplying the first term by x y x y , giving x y y + 12 x y x - 8 + y x - 8 x y x - 8 . Adding these two terms yields x y y + 12 + y x - 8 x y x - 8 . Using the distributive property to rewrite this expression gives x y 2 + 12 x y + x y - 8 y x 2 y - 8 x y . Combining the like terms in the numerator of this expression gives x y 2 + 13 x y - 8 y x 2 y - 8 x y . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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