SOLUTION: 4xy/x^2-y^2 + x-y/x+y

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Question 254717: 4xy/x^2-y^2 + x-y/x+y
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the problem:
4xy%2F%28x%5E2-y%5E2%29+%2B+%28x-y%29%2F%28x%2By%29
step 1 - find the common denominator is x^2 - y^2 or (x+y)(x-y)
step 2 - multiply second fraction by (x-y) to get
4xy%2F%28x%5E2-y%5E2%29+%2B+%28x-y%29%28x-y%29%2F%28x%5E2-y%5E2%29
step 3 - distribute numerator and combine like terms to get
%28x%5E2%2B2xy%2By%5E2%29%2F%28x%5E2-y%5E2%29
factor the numerator and denominator and reduce to get
%28%28x%2By%29%5E2%29%2F%28%28x%2By%29%28x-y%29%29
and then
%28x%2By%29%2F%28x-y%29