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3a-b^{2}-2x\left(3a-b^{2}\right)
Do the grouping 3a-b^{2}+2b^{2}x-6ax=\left(3a-b^{2}\right)+\left(2b^{2}x-6ax\right), and factor out -2x in 2b^{2}x-6ax.
\left(3a-b^{2}\right)\left(1-2x\right)
Factor out common term 3a-b^{2} by using distributive property.