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2a\left(x+y\right)+3b\left(x+y\right)
Do the grouping 2xa+2ay+3bx+3by=\left(2xa+2ay\right)+\left(3bx+3by\right), and factor out 2a in the first and 3b in the second group.
\left(x+y\right)\left(2a+3b\right)
Factor out common term x+y by using distributive property.