$$(-3x^{2}y^{2})(2x^{2}y)(xy)$$
$-6y^{4}x^{5}$
$$-3x^{4}y^{2}\times 2yxy$$
$$-3x^{5}y^{2}\times 2yy$$
$$-3x^{5}y^{3}\times 2y$$
$$-3x^{5}y^{4}\times 2$$
$$-6x^{5}y^{4}$$
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$-30\left(xy\right)^{4}$