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