SOLUTION: Find the following 3 x ____ + _______ x + 2 x^2 - 4

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Question 150973: Find the following

3 x
____ + _______
x + 2 x^2 - 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x%2B2%29%2Bx%2F%28x%5E2-4%29 Start with the given expression.



3%2F%28x%2B2%29%2Bx%2F%28%28x-2%29%28x%2B2%29%29 Factor x%5E2-4 to get %28x-2%29%28x%2B2%29



%28%28x-2%29%2F%28x-2%29%29%283%2F%28x%2B2%29%29%2Bx%2F%28%28x-2%29%28x%2B2%29%29 Multiply the first fraction by %28x-2%29%2F%28x-2%29


%283%28x-2%29%29%2F%28%28x-2%29%28x%2B2%29%29%2Bx%2F%28%28x-2%29%28x%2B2%29%29 Combine the fractions


%283%28x-2%29%2Bx%29%2F%28%28x-2%29%28x%2B2%29%29 Add the fractions.


%283x-6%2Bx%29%2F%28%28x-2%29%28x%2B2%29%29 Distribute


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


%284x-6%29%2F%28x%5E2-4%29 FOIL the denominator



So 3%2F%28x%2B2%29%2Bx%2F%28x%5E2-4%29 simplifies to %284x-6%29%2F%28x%5E2-4%29