SOLUTION: Factor the numerator and denominator of each expression completely and reduce common factors (x^2+2x)/(x^2-4) and (x^2-5x+4)/(x^2-1)

Algebra ->  Rational-functions -> SOLUTION: Factor the numerator and denominator of each expression completely and reduce common factors (x^2+2x)/(x^2-4) and (x^2-5x+4)/(x^2-1)      Log On


   

Question 825460: Factor the numerator and denominator of each expression completely and reduce common factors
(x^2+2x)/(x^2-4) and (x^2-5x+4)/(x^2-1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the numerator and denominator of each expression completely and reduce common factors
%28x%5E2%2B2x%29%2F%28x%5E2-4%29
Factor, the denominator is the "difference of squares"
%28x%28x%2B2%29%29%2F%28%28x-2%29%28x%2B2%29%29
Cancel out (x+2) leaving us with:
x%2F%28x-2%29
and
%28x%5E2-5x%2B4%29%2F%28x%5E2-1%29
Factor & cancel
%28%28x-4%29%28x-1%29%29%2F%28%28x%2B1%29%28x-1%29%29 = %28%28x-4%29%29%2F%28%28x%2B1%29%29