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\frac{\left(b-1\right)\left(2b-1\right)\left(b^{2}+b+1\right)}{\left(b-1\right)\left(b^{2}+b+1\right)}
Factor the expressions that are not already factored.
2b-1
Cancel out \left(b-1\right)\left(b^{2}+b+1\right) in both numerator and denominator.
\frac{\left(b-1\right)\left(2b-1\right)\left(b^{2}+b+1\right)}{\left(b-1\right)\left(b^{2}+b+1\right)}
Factor the expressions that are not already factored.
2b-1
Cancel out \left(b-1\right)\left(b^{2}+b+1\right) in both numerator and denominator.