SOLUTION: How to simplify this? 3/(x^3+3x^2-x-3)-2/(x^3-x^2-3x+3)+4/(x^3+x^2-3x-3)

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Question 150362: How to simplify this?
3/(x^3+3x^2-x-3)-2/(x^3-x^2-3x+3)+4/(x^3+x^2-3x-3)

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
First let's simplify.
Let A=x%5E3%2B3x%5E2-x-3, then
3%2F%28x%5E3%2B3x%5E2-x-3%29-2%2F%28x%5E3-x%5E2-3x%2B3%29%2B4%2F%28x%5E3%2Bx%5E2-3x-3%29=3%2FA-2%2FA%2B4%2FA
Use the distributive property.
3%2F%28x%5E3%2B3x%5E2-x-3%29-2%2F%28x%5E3-x%5E2-3x%2B3%29%2B4%2F%28x%5E3%2Bx%5E2-3x-3%29=3%2FA-2%2FA%2B4%2FA
3%2F%28x%5E3%2B3x%5E2-x-3%29-2%2F%28x%5E3-x%5E2-3x%2B3%29%2B4%2F%28x%5E3%2Bx%5E2-3x-3%29=%281%2FA%29%283-2%2B4%29
3%2F%28x%5E3%2B3x%5E2-x-3%29-2%2F%28x%5E3-x%5E2-3x%2B3%29%2B4%2F%28x%5E3%2Bx%5E2-3x-3%29=%281%2FA%29%285%29
3%2F%28x%5E3%2B3x%5E2-x-3%29-2%2F%28x%5E3-x%5E2-3x%2B3%29%2B4%2F%28x%5E3%2Bx%5E2-3x-3%29=5%2F%28x%5E3%2B3x%5E2-x-3%29