$$18x^{4}+108x^{2}y^{2}+162y^{4}$$
$18\left(x^{2}+3y^{2}\right)^{2}$
$$18\left(x^{4}+6x^{2}y^{2}+9y^{4}\right)$$
$$\left(x^{2}+3y^{2}\right)^{2}$$
$$18\left(x^{2}+3y^{2}\right)^{2}$$
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