SOLUTION: I am on chapter 6: Rational Expressions and Equations I am having a hard time figuring this problem out. Preform operations and simplify: (1)/(x-y)-(2x)/(x^2-y^2)+(1)/(x+y) P

Algebra ->  Rational-functions -> SOLUTION: I am on chapter 6: Rational Expressions and Equations I am having a hard time figuring this problem out. Preform operations and simplify: (1)/(x-y)-(2x)/(x^2-y^2)+(1)/(x+y) P      Log On


   

Question 452983: I am on chapter 6: Rational Expressions and Equations
I am having a hard time figuring this problem out.
Preform operations and simplify:
(1)/(x-y)-(2x)/(x^2-y^2)+(1)/(x+y)
Please show your work as well.
Thanks
Trista
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Preform operations and simplify:
%281%29%2F%28x-y%29-%282x%29%2F%28x%5E2-y%5E2%29+%281%29%2F%28x%2By%29
Factor the dif of squares
%281%29%2F%28x-y%29-%282x%29%2F%28%28x%2By%29%28x-y%29%29+%281%29%2F%28x%2By%29
:
The common denominator is (x+y)(x-y), therefore we have
%28%28x%2By%29-2x%2B%28x-y%29%29%2F%28%28x%2By%29%28x-y%29%29 = %28x%2By-2x%2Bx-y%29%2F%28%28x%2By%29%28x-y%29%29
:
Combine like terms in the numerator
%28x+-+2x+%2B+x+%2B+y+-+y%29%2F%28%28x%2By%29%28x-y%29%29
:
which is
0%2F%28%28x%2By%29%28x-y%29%29 = 0