SOLUTION: Please help me to solve: factor each polynomial completely: x^3y+2x^2y^2+xy^3 Thank you

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Question 86655: Please help me to solve:
factor each polynomial completely:
x^3y+2x^2y^2+xy^3
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
factor each polynomial completely:
x^3y+2x^2y^2+xy^3
:
x%5E3y%2B2x%5E2y%5E2%2Bxy%5E3
:
Note that each term of this expression contains xy, factor that out and you have:
xy%28x%5E2%2B2xy%2By%5E2%29
:
Note that %28x%5E2%2B2xy%2By%5E2%29 is a perfect square and easily factored, you have;
xy%28x%2By%29%28x%2By%29
:
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