SOLUTION: divide and if possible simplify x^2+7x+10/x+5 divided by x^2-4/5x-10

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Question 156949: divide and if possible simplify
x^2+7x+10/x+5 divided by x^2-4/5x-10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
divide and if possible simplify
:
Assume the problem is:
%28%28x%5E2%2B7x%2B10%29%29%2F%28%28x%2B5%29%29
------------
%28%28x%5E2-4%29%29%2F%28%285x-10%29%29
:
Invert the dividing fraction and multiply
%28%28x%5E2%2B7x%2B10%29%29%2F%28%28x%2B5%29%29 * %28%285x-10%29%29%2F%28%28x%5E2-4%29%29
Factor
%28%28x%2B2%29%28x%2B5%29%29%2F%28%28x%2B5%29%29 * %285%28x-2%29%29%2F%28%28x-2%29%28x%2B2%29%29 = 5
:
Note that you can cancel:(x+2, (x+5), and (x-2)