SOLUTION: (2x^3+x^2-3x)/(x^3-x^2)

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Question 261746: (2x^3+x^2-3x)/(x^3-x^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E3%2Bx%5E2-3x%29%2F%28x%5E3-x%5E2%29 Start with the given expression.


%28x%28x-1%29%282x%2B3%29%29%2F%28x%5E3-x%5E2%29 Factor the numerator.


%28x%28x-1%29%282x%2B3%29%29%2F%28x%5E2%28x-1%29%29 Factor the denominator.


%28x%28x-1%29%282x%2B3%29%29%2F%28x%2Ax%28x-1%29%29 Break up x%5E2 to get x%2Ax.


Highlight the common terms.



Cancel out the common terms.


%282x%2B3%29%2Fx Simplify


So %282x%5E3%2Bx%5E2-3x%29%2F%28x%5E3-x%5E2%29 simplifies to %282x%2B3%29%2Fx.


In other words, %282x%5E3%2Bx%5E2-3x%29%2F%28x%5E3-x%5E2%29=%282x%2B3%29%2Fx