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\frac{3a^{3}b^{2}-12a^{2}b^{3}-6a^{3}b^{2}-4a}{6}
Factor out \frac{1}{6}.
a\left(3a^{2}b^{2}-12ab^{3}-6a^{2}b^{2}-4\right)
Consider 3a^{3}b^{2}-12a^{2}b^{3}-6a^{3}b^{2}-4a. Factor out a.
\frac{a\left(-3a^{2}b^{2}-12ab^{3}-4\right)}{6}
Rewrite the complete factored expression.