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2a\left(2b+3c\right)-3d\left(2b+3c\right)
Do the grouping 4ab+6ac-6bd-9cd=\left(4ab+6ac\right)+\left(-6bd-9cd\right), and factor out 2a in the first and -3d in the second group.
\left(2b+3c\right)\left(2a-3d\right)
Factor out common term 2b+3c by using distributive property.