SOLUTION: Add, simplest form: x-13 3x-3 --------- + ---------- x^2-x-12 x^2-x-12 Can anyone help me on this problem please? Thank you so much!!!!!

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Question 66402: Add, simplest form:
x-13 3x-3
--------- + ----------
x^2-x-12 x^2-x-12
Can anyone help me on this problem please? Thank you so much!!!!!
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Add and simplify:
%28%28x-13%29%2F%28x%5E2-x-12%29%29+%2B+%28%283x-3%29%2F%28x%5E2-x-12%29%29 Since the two fraction have a common denominator of x%5E2-x-12, we can just add the numerators and place the result over the common denominator.
%28%28x-13%29%2F%28x%5E2-x-12%29%29%2B%28%283x-3%29%2F%28x%5E2-x-12%29%29+=+%28%28x-13%29%2B%283x-3%29%29%2F%28x%5E2-x-12%29 Now we need to simplify. Let's simplify the numerator first by combining like-terms.
%28%28x-13%29%2B%283x-3%29%29%2F%28x%5E2-x-12%29+=+%284x-16%29%2F%28x%5E2-x-12%29 But we can simplify further. Let's factor a 4 in the numerator and factor the quadratic expression in the denominator.
4%28x-4%29%2F%28x%2B3%29%28x-4%29 Finally, we can cancel the (x-4) factors in the top and bottm, leaving us with:
4%2F%28x%2B3%29