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b\left(6ab+2a-3b-1\right)
Factor out b.
2a\left(3b+1\right)-\left(3b+1\right)
Consider 6ab+2a-3b-1. Do the grouping 6ab+2a-3b-1=\left(6ab+2a\right)+\left(-3b-1\right), and factor out 2a in the first and -1 in the second group.
\left(3b+1\right)\left(2a-1\right)
Factor out common term 3b+1 by using distributive property.
b\left(3b+1\right)\left(2a-1\right)
Rewrite the complete factored expression.