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