SOLUTION: 3/x^2-13x-68 - 2/x^2-20x+51

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Question 250563: 3/x^2-13x-68 - 2/x^2-20x+51
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you are to simplify the following:
%283%2F%28x%5E2-13x-68%29%29+-+%282%2F%28x%5E2-20x%2B51%29%29
We need to factor both denominators first. we get
%283%2F%28%28x-17%29%28x%2B4%29%29%29+-+%282%2F%28%28x-3%29%28x-17%29%29%29
The common denominator is:
(x-17)(x+4)(x-3).
We change the numerators to

distribute and combine like terms in the numerator to get:
%28x-17%29%2F%28%28x-17%29%28x%2B4%29%28x-3%29%29
cancel the x-17 to get
1%2F%28%28x%2B4%29%28x-3%29%29