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