SOLUTION: 7x - 3 _______ ____ x^2+5x+6 - x+3 show me how to solve this problem.

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Question 149205: 7x - 3
_______ ____
x^2+5x+6 - x+3
show me how to solve this problem.
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
7x%2F%28x%5E2%2B5x%2B6%29-3%2F%28x%2B3%29

Factor x%5E2%2B5x%2B6

7x%2F%28x%2B3%29%28x%2B2%29-3%2F%28x%2B3%29

So the common denominator is (x+3)(x+2). So multiply the second fraction by x+2/x+2:

7x%2F%28x%2B3%29%28x%2B2%29-3%28x%2B2%29%2F%28x%2B3%29%28x%2B2%29

Subtract the numerators over a common denominator
%287x-3%28x%2B2%29%29%2F%28x%2B3%29%28x%2B2%29

Simplify 7x-3(x+2)
%287x-3x-6%29%2F%28x%2B3%29%28x%2B2%29

Combine like terms
%284x-6%29%2F%28x%2B3%29%28x%2B2%29