SOLUTION: Please factor the expression as a difference of squares: 4(x+y)^2-(2y-z)^2

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Question 68067This question is from textbook Algebra Structure and Method
: Please factor the expression as a difference of squares:
4(x+y)^2-(2y-z)^2 This question is from textbook Algebra Structure and Method

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please factor the expression as a difference of squares:
4(x+y)^2-(2y-z)^2
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Each term is a perfect square so it factors as follows:
a^2-b^2=(a-b)(a+b)
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So with your problem you get:
(2(x+y)-(2y-z))(2(x+y)+(2y-z))
Cheers,
Stan H.