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2\left(x+y\right)+a\left(x+y\right)
Do the grouping 2x+2y+ay+ax=\left(2x+2y\right)+\left(ay+ax\right), and factor out 2 in the first and a in the second group.
\left(x+y\right)\left(2+a\right)
Factor out common term x+y by using distributive property.