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ax+4x-ay-4y
Multiply and combine like terms.
x\left(a+4\right)-y\left(a+4\right)
Do the grouping ax+4x-ay-4y=\left(ax+4x\right)+\left(-ay-4y\right), and factor out x in the first and -y in the second group.
\left(a+4\right)\left(x-y\right)
Factor out common term a+4 by using distributive property.