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