# How do you factor x^3y + 2x^2y^2 + xy^3?

Extract the obvious common factor $\left(x y\right)$
${x}^{3} y + 2 {x}^{2} {y}^{2} + x {y}^{3} = \left(x y\right) \left({x}^{2} + 2 x y + {y}^{2}\right)$
$= \left(x y\right) {\left(x + y\right)}^{2}$