SOLUTION: simplify the rational expression: {{{(x^2 +3x - 10)/(x^2 + x -20)}}}

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: simplify the rational expression: {{{(x^2 +3x - 10)/(x^2 + x -20)}}}      Log On

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Question 177650: simplify the rational expression:
%28x%5E2+%2B3x+-+10%29%2F%28x%5E2+%2B+x+-20%29
Answer by Edwin McCravy(6938) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the rational expression:
%28x%5E2+%2B3x+-+10%29%2F%28x%5E2+%2B+x+-20%29

Factor numerator and denominator:

%28%28x%2B5%29%28x-2%29%29%2F%28%28x%2B5%29%28x-4%29%29

Cancel the %28x%2B5%29's

%28cross%28%28x%2B5%29%29%28x-2%29%29%2F%28cross%28%28x%2B5%29%29%28x-4%29%29

All that's left is

%28x-2%29%2F%28x-4%29

Edwin