$$4 { x }^{ 3 } { y }^{ 2 } -8 { x }^{ 2 } { y }^{ 3 }$$
$4\left(x-2y\right)x^{2}y^{2}$
$$4\left(x^{3}y^{2}-2x^{2}y^{3}\right)$$
$$x^{2}y^{2}\left(x-2y\right)$$
$$4x^{2}y^{2}\left(x-2y\right)$$
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$4\left(x-2y\right)\left(xy\right)^{2}$