SOLUTION: 2x3+2x2-4x ----------- x3+2x2-3x

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Question 133665: 2x3+2x2-4x
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x3+2x2-3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Ax%5E3%2B2%2Ax%5E2-4%2Ax%29%2F%28x%5E3%2B2x%5E2-3x%29 Start with the given expression


%282x%28x%2B2%29%28x-1%29%29%2F%28x%5E3%2B2x%5E2-3x%29 Factor out an "x" from 2%2Ax%5E3%2B2%2Ax%5E2-4%2Ax to get x%282%2Ax%5E2%2B2%2Ax-4%29. Now factor the inner expression 2%2Ax%5E2%2B2%2Ax-4 to get %28x%2B2%29%28x-1%29



%282x%28x%2B2%29%28x-1%29%29%2F%28x%28x%2B3%29%28x-1%29%29 Factor out an "x" from x%5E3%2B2x%5E2-3x to get x%28x%5E2%2B2x-3%29. Now factor the inner expression 2%2Ax%5E2%2B2%2Ax-4 to get %28x%2B3%29%28x-1%29


Cancel like terms


%282%28x%2B2%29%29%2F%28x%2B3%29 Simplify



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Answer:

So %282%2Ax%5E3%2B2%2Ax%5E2-4%2Ax%29%2F%28x%5E3%2B2x%5E2-3x%29 simplifies to %282%28x%2B2%29%29%2F%28x%2B3%29