SOLUTION: Don't understand how to solve: x x --- - --- x-2 x+2 ___________ ___ 2x x^2 ---- + ---- x-2 x-2 Please help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Don't understand how to solve: x x --- - --- x-2 x+2 ___________ ___ 2x x^2 ---- + ---- x-2 x-2 Please help!      Log On


   

Question 356911: Don't understand how to solve:
x x
--- - ---
x-2 x+2
_______________
2x x^2
---- + ----
x-2 x-2


Please help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First simplify, you also need a common denominator for the numerator.
Numerator: LCD:%28x%2B2%29%28x-2%29

x%2F%28x-2%29-x%2F%28x%2B2%29=%28x%28x%2B2%29-x%28x-2%29%29%2F%28%28x%2B2%29%28x-2%29%29%29
x%2F%28x-2%29-x%2F%28x%2B2%29=%28x%5E2%2B2x-x%5E2%2B2x%29%2F%28%28x%2B2%29%28x-2%29%29%29
x%2F%28x-2%29-x%2F%28x%2B2%29=+%284x%29%2F%28%28x%2B2%29%28x-2%29%29%29
.
.
.
Denominator:
%282x%29%2F%28x-2%29%2Bx%5E2%2F%28x-2%29=%28x%5E2%2B2x%29%2F%28x-2%29
%282x%29%2F%28x-2%29%2Bx%5E2%2F%28x-2%29=%28x%28x%2B2%29%29%2F%28x-2%29
.
.
.
Now put it all together,