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\frac{4a^{2}bc-2a^{4}bc+a^{3}b^{3}}{8}
Factor out \frac{1}{8}.
a^{2}b\left(4c-2a^{2}c+ab^{2}\right)
Consider 4a^{2}bc-2a^{4}bc+a^{3}b^{3}. Factor out a^{2}b.
\frac{a^{2}b\left(4c-2a^{2}c+ab^{2}\right)}{8}
Rewrite the complete factored expression.