$$15a^{4}b^{2}-10a^{4}b+5a^{5}b^{3}$$
$5ba^{4}\left(ab^{2}+3b-2\right)$
$$5\left(3a^{4}b^{2}-2a^{4}b+a^{5}b^{3}\right)$$
$$a^{4}b\left(3b-2+ab^{2}\right)$$
$$5a^{4}b\left(3b-2+ab^{2}\right)$$
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