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