SOLUTION: Factor each polynomial completely x³y + 2x²y² + xy³

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Question 148878This question is from textbook Elementary and Intermediate Algebra
: Factor each polynomial completely
x³y + 2x²y² + xy³
This question is from textbook Elementary and Intermediate Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
x³y + 2x²y² + xy³
.
Begin by looking for the x's. All three have at least one x. Pull out as many x's as the term with the least number of x's (turns out to be one only).
x(x²y + 2xy² + y³)
.
Now look for thy y's. All three have at least one y. Pull out as many x's as the term with the least number of x's (turns out to be one only).
x(x² + 2xy + y²)
.
Now that there are no longer any common factor among the three terms, you know you are done.