SOLUTION: problem states to devide 3x^4 - 9x^3y^3 + 2x^2 by x^2y

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Question 57874This question is from textbook elementary and intermediate algebra
: problem states to devide 3x^4 - 9x^3y^3 + 2x^2 by x^2y This question is from textbook elementary and intermediate algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
problem states to divide
%283x%5E4-9x%5E3y%5E3%2B2x%5E2%29%2F%28x%5E2y%29 When the denominator is a monomial (a single term) you can separate the rational expression this way:
3x%5E4%2F%28x%5E2y%29-9x%5E3y%5E3%2F%28x%5E2y%29%2B2x%5E2%2F%28x%5E2y%29
3x%5E%284-2%29%2Fy-9x%5E%283-2%29y%5E%283-1%29%2B2x%5E%282-2%29%2Fy
3x%5E2%2Fy-9xy%5E2%2B2x%5E0%2Fy
3x%5E2%2Fy-9xy%5E2%2B2%2Fy
:
Another way to do it is to factor out the GCF on top, the solution looks a little different:
x%5E2%283x%5E2-9xy%5E3%2B2%29%2F%28x%5E2y%29
cross%28x%5E2%29%283x%5E2-9xy%5E3%2B2%29%2F%28cross%28x%5E2%29y%29
%283x%5E2-9xy%5E3%2B2%29%2Fy
Happy Calculating!!!