SOLUTION: If x and y are integers, which of the following is equivalent to (2x)3y – (2x)y? a) (2x)2y b) 2y(x3 – xy) c) (2x)y[(2x)2y – 1] d) (2x)y(4xy – 1

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Question 306784: If x and y are integers, which of the following is equivalent to (2x)3y – (2x)y?
a) (2x)2y
b) 2y(x3 – xy)
c) (2x)y[(2x)2y – 1]

d) (2x)y(4xy – 1)
e) (2x)y[(2x)3 – 1]
Found 2 solutions by Stitch, texttutoring:
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %282X%29%2A3Y+-+%282X%29Y
Do the multiplication
6XY+-+2XY+=+4XY
The 4XY can be factored
4XY+=+%282X%29%2A%282Y%29
The answer is A

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
(2x)3y - (2x)y = 6xy - 2xy = 4xy
The first answer, a), is equal to 4xy as well.

(2x)2y = 4xy

The answer is a).