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2\left(56xy-8x+64x^{2}-7y\right)
Factor out 2.
8x\left(8x-1\right)+7y\left(8x-1\right)
Consider 56xy-8x+64x^{2}-7y. Do the grouping 56xy-8x+64x^{2}-7y=\left(64x^{2}-8x\right)+\left(56xy-7y\right), and factor out 8x in the first and 7y in the second group.
\left(8x-1\right)\left(8x+7y\right)
Factor out common term 8x-1 by using distributive property.
2\left(8x+7y\right)\left(8x-1\right)
Rewrite the complete factored expression.