SOLUTION: 2x^-2x/x^2-2x-15 - 2/x+3 +x/5-x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2x^-2x/x^2-2x-15 - 2/x+3 +x/5-x      Log On


   

Question 78168: 2x^-2x/x^2-2x-15 - 2/x+3 +x/5-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E-2x%29%2F%28x%5E2-2x-15%29++-++2%2F%28x%2B3%29+++%2Bx%2F%285-x%29

%282x%5E-2x%29%2F%28%28x-5%29%28x%2B3%29%29++-++2%2F%28x%2B3%29+++%2Bx%2F%285-x%29 Factor the denominator

%282x%5E-2x%29%2F%28%28x-5%29%28x%2B3%29%29++-++2%2F%28x%2B3%29+++-x%2F%28x-5%29 Negate the last term to get a denominator of x-5

Multiply the 2nd term by %28x-5%29%2F%28x-5%29 and the 3rd term by %28x%2B3%29%2F%28x%2B3%29 to get the LCD

Multiply


Distribute

%282x%5E-2x-2x%2B10-x%5E2-3x%29%2F%28%28x-5%29%28x%2B3%29%29 Combine the fractions


%282x%5E-2x-5x%2B10-x%5E2%29%2F%28%28x-5%29%28x%2B3%29%29 Combine like terms. This is your simplified form.