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a\left(x+y\right)+\beta \left(x+y\right)+\gamma \left(x+y\right)
Do the grouping ax+ay+\beta x+\beta y+\gamma x+\gamma y=\left(ax+ay\right)+\left(\beta x+\beta y\right)+\left(\gamma x+\gamma y\right), and factor out a,\beta ,\gamma in each of the groups respectively.
\left(x+y\right)\left(a+\beta +\gamma \right)
Factor out common term x+y by using distributive property.