SOLUTION: Perform the indicated operation and simplify your answer: x^2+2x-15/x+4 / 5x^2+25x/x+4

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Question 1103414: Perform the indicated operation and simplify your answer:
x^2+2x-15/x+4 / 5x^2+25x/x+4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2B2x-15%29%2F%28x%2B4%29
----------
%285x%5E2%2B25x%29%2F%28x%2B4%29
:
Factor
%28%28x%2B5%29%28x-3%29%29%2F%28x%2B4%29
----------
%285x%28x%2B5%29%29%2F%28x%2B4%29
:
invert the dividing fraction and multiply
%28%28x%2B5%29%28x-3%29%29%2F%28x%2B4%29 * %28x%2B4%29%2F%285x%28x%2B5%29%29
:
Cancel (x-4)
%28%28x%2B5%29%28x-3%29%29%2F%285x%28x%2B5%29%29
:
cancel (x+5)
%28x-3%29%2F%285x%29