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\frac{27\left(z-1\right)\left(z^{2}+z+1\right)}{3\left(z-1\right)}
Factor the expressions that are not already factored.
9\left(z^{2}+z+1\right)
Cancel out 3\left(z-1\right) in both numerator and denominator.
9z^{2}+9z+9
Expand the expression.
\frac{27\left(z-1\right)\left(z^{2}+z+1\right)}{3\left(z-1\right)}
Factor the expressions that are not already factored.
9\left(z^{2}+z+1\right)
Cancel out 3\left(z-1\right) in both numerator and denominator.
9z^{2}+9z+9
Expand the expression.