SOLUTION: Hi wondering if someone can solve these problems:These are multiplying and dividing rational expressions. y^2-2y+1 over y^2 -1 times 2y^2 + y-1 over 5y -5 and another one 8x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi wondering if someone can solve these problems:These are multiplying and dividing rational expressions. y^2-2y+1 over y^2 -1 times 2y^2 + y-1 over 5y -5 and another one 8x      Log On


   

Question 85465: Hi wondering if someone can solve these problems:These are multiplying and dividing rational expressions.
y^2-2y+1 over y^2 -1 times 2y^2 + y-1 over 5y -5
and another one
8x + 8y over x^2 divided by x^2-y^2 over x^2
thanks for any help you can offer

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) Multiply:
%28%28y%5E2-2y%2B1%29%2F%28y%5E2-1%29%29%28%282y%5E2%2By-1%29%2F%285y-5%29%29 You can often simplfy problems such as this by factoring the numerators and denominators, where possible, and canceling like-factors.
Cancel like-factors.
...and you are left with:
%282y-1%29%2F5
2) Divide:
%28%288x%2B8y%29%2Fx%5E2%29%2F%28%28x%5E2-y%5E2%29%2Fx%5E2%29 Simplify this to:
%28%288x%2B8y%29%2Fx%5E2%29%2A%28x%5E2%2F%28x%5E2-y%5E2%29%29 Cancel the x%5E2's leaving you with:
%288x%2B8y%29%2F%28x%5E2-y%5E2%29 Now factor the numerator and denominator and cancel like-factors.
8cross%28%28x%2By%29%29%2Fcross%28%28x%2By%29%29%28x-y%29
8%2F%28x-y%29