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

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Question 1103231: Perform the indicated operations and simplify your answer:
x^2+2x-15/x+4 / 5x^2+25x/x+4
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Please use parentheses where required to make the problem clear....!!

I assume the expression is supposed to be
%28%28x%5E2%2B2z-15%29%2F%28x%2B4%29%29%2F%28%285x%5E2%2B25x%29%2F%28x%2B4%29%29

With the "x+4" in both denominators, we can essentially ignore them. (Or, if you prefer, we can multiply numerator and denominator of the original fraction by (x+4).)

We end up with
%28x%5E2%2B2z-15%29%2F%285x%5E2%2B25x%29

Here both the numerator and denominator factor easily; and the expression can then be simplified by canceling common factors.

That part should be easy; I'll leave it for you to finish.