Which expression is equivalent to 6 x 8 y 2 + 12 x 2 y 2 ?

Question

Accepted Answer

Choice C is correct. Since each term of the given expression has a common factor of 6 x 2 y 2 , it may be rewritten as 6 x 2 y 2 ( x 6 ) + 6 x 2 y 2 ( 2 ) , or 6 x 2 y 2 ( x 6 + 2 ) . Choice A is incorrect. This expression is equivalent to 12 x 8 y 2 , not 6 x 8 y 2 + 12 x 2 y 2 . Choice B is incorrect. This expression is equivalent to 6 x 6 y 2 , not 6 x 8 y 2 + 12 x 2 y 2 . Choice D is incorrect. This expression is equivalent to 6 x 6 y 2 + 12 x 2 y 2 , not 6 x 8 y 2 + 12 x 2 y 2 .

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