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