SOLUTION: How do you factor 25y^2-49w^2

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Question 483961: How do you factor 25y^2-49w^2
Found 2 solutions by Alan3354, chessace:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's the difference of 2 squares.
= %285y%29%5E2+-+%287w%29%5E2

Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
First note the numeric squares and move them into the variable squares:
(5y)^2 - (7w)^2
Next compare to x^2 - z^2 which factors into (x+z)(x-z)
If you have never seen this, verify by multiplying it out.
Next with x = 5y and z = 7w, substitute and get
(5y + 7w)(5y - 7w)