SOLUTION: Simplify 4 over x^2-5x+4 - 5 over x^2-1

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Question 363229: Simplify
4 over x^2-5x+4 - 5 over x^2-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
4%2F%28%28x%5E2-5x%2B4%29%29 - 5%2F%28%28x%5E2-1%29%29
we can factor both denominators
4%2F%28%28x-1%29%28x-4%29%29 - 5%2F%28%28x%2B1%29%28x-1%29%29
The common denominator will be (x-4)(x+1)(x-1), so we have
%284%28x%2B1%29+-+5%28x-4%29%29%2F%28%28x-4%29%28x%2B1%29%28x-1%29%29 = %28%284x+%2B+4+-+5x+%2B+20%29%29%2F%28%28x-4%29%28x%2B1%29%28x-1%29%29 = %28%28-x+%2B+24%29%29%2F%28%28x-4%29%28x%2B1%29%28x-1%29%29; about all we can do with it