$$9b^{2}y^{3}-6b^{3}y^{2}+15b^{2}y^{2}$$
$3\left(3y-2b+5\right)b^{2}y^{2}$
$$3\left(3b^{2}y^{3}-2b^{3}y^{2}+5b^{2}y^{2}\right)$$
$$b^{2}y^{2}\left(3y-2b+5\right)$$
$$3b^{2}y^{2}\left(3y-2b+5\right)$$
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$3\left(3y-2b+5\right)\left(by\right)^{2}$