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2x\left(4a-9b\right)+3y\left(4a-9b\right)
Do the grouping 8ax-18bx+12ay-27by=\left(8ax-18bx\right)+\left(12ay-27by\right), and factor out 2x in the first and 3y in the second group.
\left(4a-9b\right)\left(2x+3y\right)
Factor out common term 4a-9b by using distributive property.