$$12 { x }^{ 2 } +36 { x }^{ 2 } y+27 { y }^{ 2 } { x }^{ 2 }$$
$3x^{2}\left(3y+2\right)^{2}$
$$3\left(4x^{2}+12x^{2}y+9y^{2}x^{2}\right)$$
$$x^{2}\left(4+12y+9y^{2}\right)$$
$$\left(3y+2\right)^{2}$$
$$3x^{2}\left(3y+2\right)^{2}$$
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$3\left(x\left(3y+2\right)\right)^{2}$
