SOLUTION: How do I do this? x-5/x^2-36 - x-7/x^2-x-42 Thank you for your help!

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Question 700457: How do I do this?
x-5/x^2-36 - x-7/x^2-x-42
Thank you for your help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x-5%29%29%2F%28%28x%5E2-36%29%29 - %28%28x-7%29%29%2F%28%28x%5E2-x-42%29%29
Factor both denominators
%28%28x-5%29%29%2F%28%28x%2B6%29%28x-6%29%29 - %28%28x-7%29%29%2F%28%28x-7%29%28x%2B6%29%29
Cancel out (x-7)
%28%28x-5%29%29%2F%28%28x%2B6%29%28x-6%29%29 - 1%2F%28%28x%2B6%29%29
The common denominator; (x+6)(x-6)
%28%28x-5%29-%28x-6%29%29%2F%28%28x%2B6%29%28x-6%29%29 = %28%28x-5-x%2B6%29%29%2F%28%28x%2B6%29%28x-6%29%29 = 1%2F%28%28x%2B6%29%28x-6%29%29