SOLUTION: Can anyone help with this one? I need solution and steps. Factor each polynomial completely. x³y + 2x²y² + xy³

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can anyone help with this one? I need solution and steps. Factor each polynomial completely. x³y + 2x²y² + xy³      Log On


   

Question 43968: Can anyone help with this one? I need solution and steps.


Factor each polynomial completely.


x³y + 2x²y² + xy³
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Factor out the greatest common factor first and we get
x³y + 2x²y² + xy³ =
xy(x^2 + 2xy + y^2) =
xy(x + y)^2