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ab\left(b-1\right)-3\left(b-1\right)
Do the grouping ab^{2}-ab-3b+3=\left(ab^{2}-ab\right)+\left(-3b+3\right), and factor out ab in the first and -3 in the second group.
\left(b-1\right)\left(ab-3\right)
Factor out common term b-1 by using distributive property.