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8x\left(x-1\right)+5y\left(x-1\right)
Do the grouping 8x^{2}-8x+5xy-5y=\left(8x^{2}-8x\right)+\left(5xy-5y\right), and factor out 8x in the first and 5y in the second group.
\left(x-1\right)\left(8x+5y\right)
Factor out common term x-1 by using distributive property.