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