SOLUTION: Explain how to factor (and then factor) the difference is squares: (x+y)^2-25z^2

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Question 672844: Explain how to factor (and then factor) the difference is squares: (x+y)^2-25z^2
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Find the perfect square and add its conjugate, where the perfect squares it that number multiplied by itself which produces the difference of squares.
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for example, 4 is the perfect square of 2
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%28x%2By%29%5E2+-+25z%5E2
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What multiplied by itself will yield
(x+y)^2, well (x+y) will. proof: (x+y)(x+y) = (x+y)^2
so (x+y) is the perfect square
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25z^2, 5z. proof: 5z(5z) = 25z^2
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highlight_green%28%28x%2By%29+-+5z%29
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