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