SOLUTION: Simplify {{{(r^2-81)/(r+9)^2}}}

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Question 131918: Simplify %28r%5E2-81%29%2F%28r%2B9%29%5E2
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
%28r%5E2-81%29%2F%28r%2B9%29%5E2 Start with the given expression


%28r%5E2-81%29%2F%28%28r%2B9%29%28r%2B9%29%29 Expand %28r%2B9%29%5E2 to get %28r%2B9%29%28r%2B9%29


%28%28r%2B9%29%28r-9%29%29%2F%28%28r%2B9%29%28r%2B9%29%29 Factor r%5E2-81 to get %28r%2B9%29%28r-9%29


%28cross%28%28r%2B9%29%29%28r-9%29%29%2F%28cross%28%28r%2B9%29%29%28r%2B9%29%29 Cancel like terms


%28r-9%29%2F%28r%2B9%29 Simplify



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Answer:

So %28r%5E2-81%29%2F%28r%2B9%29%5E2 simplifies to %28r-9%29%2F%28r%2B9%29
In other words, %28r%5E2-81%29%2F%28r%2B9%29%5E2=%28r-9%29%2F%28r%2B9%29