SOLUTION: Simplify x^2-3x-10/x+3/2x^2-7x-15/x^2-9

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Question 1105056: Simplify x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
%28x%5E2-3x-10%29%2F%28x%2B3%29
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%282x%5E2-7x-15%29%2F%28x%5E2-9%29
invert the dividing fraction and multiply
%28x%5E2-3x-10%29%2F%28x%2B3%29 * %28x%5E2-9%29%2F%282x%5E2-7x-15%29
Factor
%28%28x-5%29%28x%2B2%29%29%2F%28x%2B3%29 * %28%28x-3%29%28x%2B3%29%29%2F%28%282x%2B3%29%28x-5%29%29
we can cancel (x+3) and (x-5)
(x+2) * %28%28x-3%29%29%2F%28%282x%2B3%29%29 = %28%28x%2B2%29%28x-3%29%29%2F%28%282x%2B3%29%29