SOLUTION: 6x/5x^2-16x-45 subtract x/x^2-7x+10

Algebra ->  Rational-functions -> SOLUTION: 6x/5x^2-16x-45 subtract x/x^2-7x+10      Log On


   

Question 272045: 6x/5x^2-16x-45 subtract x/x^2-7x+10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%29%2F%285x%5E2-16x-45%29 - x%2F%28x%5E2-7x%2B10%29
Factor both denominators
%286x%29%2F%28%285x%2B9%29%28x-5%29%29 - x%2F%28%28x-5%29%28x-2%29%29
:
Common denominator; (x-5)(5x+9)(x-2)
:
%286x%28x-2%29-+x%285x%2B9%29%29%2F%28%285x%2B9%29%28x-5%29%28x-2%29%29 = %286x%5E2+-+12x+-+5x%5E2+-+9x%29%2F%28%285x%2B9%29%28x-5%29%28x-2%29%29 = %28x%5E2+-+21x%29%2F%28%285x%2B9%29%28x-5%29%28x-2%29%29 = x%28x+-+21%29%2F%28%285x%2B9%29%28x-5%29%28x-2%29%29