$$9 { x }^{ 3 } { y }^{ 2 } +18 { x }^{ 2 } { y }^{ 2 }$$
$9\left(x+2\right)x^{2}y^{2}$
$$9\left(x^{3}y^{2}+2x^{2}y^{2}\right)$$
$$x^{2}y^{2}\left(x+2\right)$$
$$9x^{2}y^{2}\left(x+2\right)$$
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$9\left(x+2\right)\left(xy\right)^{2}$