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a\left(b+6\right)+3\left(b+6\right)
Do the grouping ab+6a+3b+18=\left(ab+6a\right)+\left(3b+18\right), and factor out a in the first and 3 in the second group.
\left(b+6\right)\left(a+3\right)
Factor out common term b+6 by using distributive property.