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