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y\left(x+8\right)-8\left(x+8\right)
Do the grouping xy+8y-8x-64=\left(xy+8y\right)+\left(-8x-64\right), and factor out y in the first and -8 in the second group.
\left(x+8\right)\left(y-8\right)
Factor out common term x+8 by using distributive property.