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5\left(x-9\right)+8y\left(x-9\right)
Do the grouping 5x-45+8xy-72y=\left(5x-45\right)+\left(8xy-72y\right), and factor out 5 in the first and 8y in the second group.
\left(x-9\right)\left(5+8y\right)
Factor out common term x-9 by using distributive property.