SOLUTION: x^2 x^2+x-2 ---- x -------- x-1 x

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Question 144451: x^2 x^2+x-2
---- x --------
x-1 x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2%29%2F%28x-1%29%29%28%28x%5E2%2Bx-2%29%2F%28x%29%29 Start with the given expression

%28%28x%5E2%29%2F%28x-1%29%29%28%28%28x%2B2%29%28x-1%29%29%2F%28x%29%29 Factor x%5E2%2Bx-2 to get %28x%2B2%29%28x-1%29


%28x%5E2%29%28x%2B2%29%28x-1%29%2F%28x-1%29%28x%29 Combine the fractions


Cancel like terms


x%28x%2B2%29 Simplify


x%5E2%2B2x Distribute


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Answer:

So %28%28x%5E2%29%2F%28x-1%29%29%28%28x%5E2%2Bx-2%29%2F%28x%29%29 simplifies to x%5E2%2B2x. In other words %28%28x%5E2%29%2F%28x-1%29%29%28%28x%5E2%2Bx-2%29%2F%28x%29%29=x%5E2%2B2x where x%3C%3E0 or x%3C%3E1