SOLUTION: how do i go about simplifing this to the simplest form? x-13/x^2-x-12+3x-3/x^2-x-12

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Question 77297: how do i go about simplifing this to the simplest form?
x-13/x^2-x-12+3x-3/x^2-x-12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If your problem looks like this:
x-13%2Fx%5E2-x-12%2B3x-3%2Fx%5E2-x-12 then
%28x-x-x%2B3x%29%2B%28-13%2Fx%5E2-3%2Fx%5E2%29%2B%28-12-12%29 group like terms
2x-16%2Fx%5E2-24 Combine like terms
%28x%5E2%2Fx%5E2%292x-16%2Fx%5E2-%28x%5E2%2Fx%5E2%2924 Multiply the first term by (x/x) and the third term by (x^2/x^2)
2x%5E3%2Fx%5E2-16%2Fx%5E2-24x%5E2%2Fx%5E2
%282x%5E3-16-24x%5E2%29%2Fx%5E2 Combine the fractions. This is the simplified form.
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Or....
If your problem looks like:
%28x-13%29%2F%28x%5E2-x-12%29%2B%283x-3%29%2F%28x%5E2-x-12%29 then:
%28%28x-13%29%2B%283x-3%29%29%2F%28x%5E2-x-12%29 Combine the fractions
%284x-16%29%2F%28x%5E2-x-12%29 Combine like terms
4%28x-4%29%2F%28x%5E2-x-12%29 Factor out a 4 out of the numerator
4%28x-4%29%2F%28%28x%2B3%29%28x-4%29%29 factor the denominator
4%2Across%28x-4%29%2F%28%28x%2B3%29cross%28x-4%29%29 Cancel like terms
4%2F%28x%2B3%29 This is the simplified form.