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