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