SOLUTION: Hello. I'm practicing for an exam and I need some help with the following problem. Perform the indicated operations and simplify: 2/(x-2) + 3/(x+2) - (x+6)/(x^2-4) thanks!

Algebra ->  Equations -> SOLUTION: Hello. I'm practicing for an exam and I need some help with the following problem. Perform the indicated operations and simplify: 2/(x-2) + 3/(x+2) - (x+6)/(x^2-4) thanks!      Log On


   

Question 189446: Hello. I'm practicing for an exam and I need some help with the following problem.
Perform the indicated operations and simplify:
2/(x-2) + 3/(x+2) - (x+6)/(x^2-4)
thanks!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%282%2F%28x-2%29%29%2B%283%2F%28x%2B2%29%29-%28x%2B6%29%2F%28x%5E2-4%29
Find the common denominator: %28x-2%29%28x%2B2%29=+%28x%5E2-4%29
Multiply the first fraction by %28x%2B2%29%2F%28x%2B2%29 and the second fraction by %28x-2%29%2F%28x-2%29
Simplify:
Now factor 4 from the numerator and factor the binomial in the denominator.
4cross%28%28x-2%29%29%2Fcross%28%28x-2%29%29%28x%2B2%29 Cancel the indicated factors to leave you with:
highlight%284%2F%28x%2B2%29%29