$$15x^{3}y^{2}-27x^{2}y+21x^{2}y^{2}$$
$3yx^{2}\left(5xy+7y-9\right)$
$$3\left(5x^{3}y^{2}-9x^{2}y+7x^{2}y^{2}\right)$$
$$x^{2}y\left(5xy-9+7y\right)$$
$$3x^{2}y\left(5xy-9+7y\right)$$
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