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2x\left(3x+4b\right)+3\left(3x+4b\right)
Do the grouping 6x^{2}+8xb+9x+12b=\left(6x^{2}+8xb\right)+\left(9x+12b\right), and factor out 2x in the first and 3 in the second group.
\left(3x+4b\right)\left(2x+3\right)
Factor out common term 3x+4b by using distributive property.