SOLUTION: reduce 5x-x^2/x^2-10x+25

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Question 170076: reduce
5x-x^2/x^2-10x+25
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%285x-x%5E2%29%2F%28x%5E2-10x%2B25%29
Factoring numerator and denominator:
x%285-x%29%2F%28x-5%29%28x-5%29
Factor out a -1 from the denominator:
x%285-x%29%2F%28-1%29%285-x%29%28x-5%29
Now, we can cancel like-terms:
x%2F%28-1%29%28x-5%29
Distributing the -1:
x%2F%285-x%29