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7x\left(3x-8\right)-9y\left(3x-8\right)
Do the grouping 21x^{2}-56x+72y-27xy=\left(21x^{2}-56x\right)+\left(72y-27xy\right), and factor out 7x in the first and -9y in the second group.
\left(3x-8\right)\left(7x-9y\right)
Factor out common term 3x-8 by using distributive property.