SOLUTION: 9x+3/x^2-9 - 5/x-3

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Question 205160: 9x+3/x^2-9 - 5/x-3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%289x%2B3%29%2F%28x%5E2-9%29%29-%285%2F%28x-3%29%29 Factor the denominator of the first fraction.
%28%289x%2B3%29%2F%28x%2B3%29%28x-3%29%29-%285%2F%28x-3%29%29 Multiply the second fraction by %28x%2B3%29%2F%28x%2B3%29
%28%289x%2B3%29%2F%28x%2B3%29%28x-3%29%29-%285%28x%2B3%29%2F%28x%2B3%29%28x-3%29%29 Subtract the two fractions.
%289x%2B3-5x-15%29%2F%28x%2B3%29%28x-3%29 Simplify the numerator.
%284x-12%29%2F%28x%2B3%29%28x-3%29 Factor 4 from the numerator.
4%2Across%28%28x-3%29%29%2F%28x%2B3%29cross%28%28x-3%29%29 Cancel the common factors (x-3) as indicated, to leave you with:
highlight%284%2F%28x%2B3%29%29