$$14x^{3}y^{2}-35x^{2}y^{3}$$
$7\left(2x-5y\right)x^{2}y^{2}$
$$7\left(2x^{3}y^{2}-5x^{2}y^{3}\right)$$
$$x^{2}y^{2}\left(2x-5y\right)$$
$$7x^{2}y^{2}\left(2x-5y\right)$$
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$7\left(2x-5y\right)\left(xy\right)^{2}$
