SOLUTION: hello i need some help with this problem {{{((x^2+2xy+y^2)/(x+y))*((x^2-y^2)/(x-y))}}} thanks in advance for your help :)

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: hello i need some help with this problem {{{((x^2+2xy+y^2)/(x+y))*((x^2-y^2)/(x-y))}}} thanks in advance for your help :)      Log On

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Question 57384: hello i need some help with this problem
%28%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29%29%2A%28%28x%5E2-y%5E2%29%2F%28x-y%29%29
thanks in advance for your help :)
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29%29%2A%28%28x%5E2-y%5E2%29%2F%28x-y%29%29 First factor everything you can.
%28%28x%2By%29%28x%2By%29%2F%28x%2By%29%29%2A%28%28x%2By%29%28x-y%29%2F%28x-y%29%29 Cancel all numerators and denominators that match each other.
%28cross%28%28x%2By%29%29%28x%2By%29%2Fcross%28%28x%2By%29%29%29%2A%28%28x%2By%29%2Across%28%28x-y%29%29%2Fcross%28%28x-y%29%29%29
%28x%2By%29%2A%28x%2By%29 some teachers like this: %28x%2By%29%5E2
Others want you to FOIL it.
x%28x%29%2Bx%28y%29%2By%28x%29%2By%28y%29
x%5E2%2Bxy%2Bxy%2By%5E2
x%5E2%2B2xy%2By%5E2
Happy Calculating!!!