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ab\left(a-b\right)+3\left(a-b\right)
Do the grouping a^{2}b-ab^{2}+3a-3b=\left(a^{2}b-ab^{2}\right)+\left(3a-3b\right), and factor out ab in the first and 3 in the second group.
\left(a-b\right)\left(ab+3\right)
Factor out common term a-b by using distributive property.