$$3 { a }^{ 2 } b-6a { b }^{ 2 } -5$$
$6b\left(a-b\right)$
$$2\times 3ba^{2-1}+\left(-6b^{2}\right)a^{1-1}$$
$$6ba^{2-1}+\left(-6b^{2}\right)a^{1-1}$$
$$6ba^{1}+\left(-6b^{2}\right)a^{1-1}$$
$$6ba^{1}+\left(-6b^{2}\right)a^{0}$$
$$6ba+\left(-6b^{2}\right)a^{0}$$
$$6ba+\left(-6b^{2}\right)\times 1$$
$$6ba-6b^{2}$$
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$-6ab^{2}+3ba^{2}-5$