SOLUTION: I need help dividing this problem please: 6x-6y/4 /divided by x^2-y^2/x+y. My answer is 3/2+ 3/2 and I don't think that even makes sense. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help dividing this problem please: 6x-6y/4 /divided by x^2-y^2/x+y. My answer is 3/2+ 3/2 and I don't think that even makes sense. Thank you      Log On


   

Question 74558: I need help dividing this problem please:
6x-6y/4
/divided by x^2-y^2/x+y. My answer is 3/2+ 3/2 and I don't think that even makes sense. Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286x-6y%29%2F4%29%2F%28%28x%5E2-y%5E2%29%2F%28x%2By%29%29
%28%286x-6y%29%2F4%29%2F%28%28x%2By%29%28x-y%29%2F%28x%2By%29%29Factor x%5E2-y%5E2 into %28x%2By%29%28x-y%29
%28%286x-6y%29%2F4%29%2F%28cross%28x%2By%29%28x-y%29%2Fcross%28x%2By%29%29Cancel like terms
%286%28x-y%29%2F4%29%2F%28%28x-y%29%2F1%29Factor out a 6 on the numerator
%286%28x-y%29%2F4%29%281%2F%28x-y%29%29
%286%2Across%28%28x-y%29%29%2F4%29%281%2Fcross%28x-y%29%29
6%2F4 which reduces to
3%2F2
So in other words,
%28%286x-6y%29%2F4%29%2F%28%28x%5E2-y%5E2%29%2F%28x%2By%29%29=3%2F2
You should only get one 3%2F2 term. Check to see if you didn't add a 3%2F2 term somewhere in your solution.