SOLUTION: can you please help me!!!!! Simplify the expression {{{x/(x+5)+5x/(x-5)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me!!!!! Simplify the expression {{{x/(x+5)+5x/(x-5)}}}      Log On


   

Question 190526: can you please help me!!!!!
Simplify the expression
x%2F%28x%2B5%29%2B5x%2F%28x-5%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the expression
x%2F%28x%2B5%29%2B5x%2F%28x-5%29
-----------------
Find the common denominator. The product of the 2 (or any number) DENs will ALWAYS work, even tho sometimes it's not the LCD.
x%2F%28x%2B5%29%2B5x%2F%28x-5%29
=
=%28x%5E2-5x%29%2FDEN+%2B+%285x%5E2%2B25%29%2FDEN
=%286x%5E2+-+5x+%2B+25%29%2FDEN
The NUM can't be factored, so it's:
%286x%5E2+-+5x+%2B+25%29%2F%28x%5E2-25%29