SOLUTION: please divide r + 5 / r2 + 5r -14 by r2 + 4r - 21 /2 - 2 thank you!!

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Question 7261: please divide r + 5 / r2 + 5r -14 by r2 + 4r - 21 /2 - 2
thank you!!
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
Is your problem: %28r%2B5%29%2F%28r%5E2%2B5r-14%29/%28r%5E2%2B4r-21%29%2F%282-2%29
or is your problem: %28r%2B5%29%2F%28r%5E2%2B5r-14%29/%282-2%29%2F%28r%5E2%2B4r-21%29

Assuming that your problem is %28r%2B5%29%2F%28r%5E2%2B5r-14%29/%282-2%29%2F%28r%5E2%2B4r-21%29,
Change it from division to multiplication:
%28r%2B5%29%2F%28r%5E2%2B5r-14%29*%28r%5E2%2B4r-21%29%2F%282-2%29

Factorize
%28r%2B5%29%2F%28r%2B7%29%28r-2%29*%28r%2B7%29%28r-3%29%2F%282-2%29

(r+7) cancels out

%28r%2B5%29%28r-3%29%2F%28r-2%29%281%29

%28r%5E2%2B2r-5%29%2F%28r-2%29