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ax\left(3xy+2\right)+b\left(3xy+2\right)
Do the grouping 3x^{2}ay+2ax+3xyb+2b=\left(3x^{2}ay+2ax\right)+\left(3xyb+2b\right), and factor out ax in the first and b in the second group.
\left(3xy+2\right)\left(ax+b\right)
Factor out common term 3xy+2 by using distributive property.