SOLUTION: (x^2-25)/(x^3-4x^2-5x)*(x^2+x)/(1-x^2)

Algebra ->  Expressions-with-variables -> SOLUTION: (x^2-25)/(x^3-4x^2-5x)*(x^2+x)/(1-x^2)      Log On


   

Question 145318: (x^2-25)/(x^3-4x^2-5x)*(x^2+x)/(1-x^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2-25%29%2F%28x%5E3-4x%5E2-5x%29%29%28%28x%5E2%2Bx%29%2F%281-x%5E2%29%29 Start with the given expression

Factor x%5E2-25 to get %28x%2B5%29%28x-5%29

Factor x%5E3-4x%5E2-5x to get x%28x-5%29%28x%2B1%29

Factor x%5E2%2Bx to get x%28x%2B1%29

Factor 1-x%5E2 to get -%28x%2B1%29%28x-1%29



%28%28x%2B5%29%28x-5%29x%28x%2B1%29%29%2F%28-x%28x-5%29%28x%2B1%29%28x%2B1%29%28x-1%29%29 Combine the fractions


Cancel like terms


-%28x%2B5%29%2F%28%28x%2B1%29%28x-1%29%29 Simplify


So %28%28x%5E2-25%29%2F%28x%5E3-4x%5E2-5x%29%29%28%28x%5E2%2Bx%29%2F%281-x%5E2%29%29 simplifies to -%28x%2B5%29%2F%28%28x%2B1%29%28x-1%29%29