SOLUTION: I mistyped before!! I can't get them to line up..? (x-y) + (x+y) - (2x) ________ _______ ________ (x^2-y^2) (x^2-y^2) (y^2-x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I mistyped before!! I can't get them to line up..? (x-y) + (x+y) - (2x) ________ _______ ________ (x^2-y^2) (x^2-y^2) (y^2-x      Log On


   

Question 34474: I mistyped before!! I can't get them to line up..?
(x-y) + (x+y) - (2x)
________ _______ ________
(x^2-y^2) (x^2-y^2) (y^2-x^2)
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
(x-y)/(x^2-y^2) + (x+y)/(x^2-y^2) - 2x/(y^2-x^2)
= (x-y)/(x^2-y^2) + (x+y)/(x^2-y^2) - 2x/(-1)(x^2-y^2)
= (x-y)/(x^2-y^2) + (x+y)/(x^2-y^2) + 2x/(x^2-y^2)
= [1/(x^2-y^2)][(x-y)+(x+y)+2x] = [1/(x^2-y^2)][4x]
= 4x/(x^2-y^2)