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6\left(a^{3}b^{2}c+2ab^{3}c-3ab\right)
Factor out 6.
ab\left(a^{2}bc+2b^{2}c-3\right)
Consider a^{3}b^{2}c+2ab^{3}c-3ab. Factor out ab.
6ab\left(a^{2}bc+2b^{2}c-3\right)
Rewrite the complete factored expression.