SOLUTION: Write the rational expression x(x+1)^2(x-5)/x(x+2)(x-5)^3 in simplest terms. Show your work.

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Question 193271: Write the rational expression x(x+1)^2(x-5)/x(x+2)(x-5)^3 in simplest terms. Show your work.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%5E3%29 Start with the given expression.


%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%28x-5%29%5E2%29 Factor %28x-5%29%5E3 to get %28x-5%29%28x-5%29%5E2


Highlight the common terms.


Cancel out the common terms.


%28%28x%2B1%29%5E2%29%2F%28%28x%2B2%29%28x-5%29%5E2%29 Simplify


So where x%3C%3E-2, x%3C%3E0, or x%3C%3E5