Which expression represents the product of x - 6 y 3 z 5 and x 4 z 5 + y

Question

Which expression represents the product of x - 6 y 3 z 5 and x 4 z 5 + y 8 z - 7 ?

Accepted Answer

Choice D is correct. The product of x - 6 y 3 z 5 and x 4 z 5 + y 8 z - 7 can be represented by the expression x - 6 y 3 z 5 x 4 z 5 + y 8 z - 7 . Applying the distributive property to this expression yields x - 6 y 3 z 5 x 4 z 5 + x - 6 y 3 z 5 y 8 z - 7 , or x - 6 x 4 y 3 z 5 z 5 + x - 6 y 3 y 8 z 5 z - 7 . This expression is equivalent to x - 6 + 4 y 3 z 5 + 5 + x - 6 y 3 + 8 z 5 - 7 , or x - 2 y 3 z 10 + x - 6 y 11 z - 2 . 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 C is incorrect and may result from conceptual or calculation errors.

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