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x\left(x+6\right)+y\left(x+6\right)
Do the grouping x^{2}+6x+xy+6y=\left(x^{2}+6x\right)+\left(xy+6y\right), and factor out x in the first and y in the second group.
\left(x+6\right)\left(x+y\right)
Factor out common term x+6 by using distributive property.