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\frac{3\left(x-1\right)^{2}-\left(x-1\right)}{\left(x-1\right)^{3}}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
\frac{\left(x-1\right)\left(3x-4\right)}{\left(x-1\right)^{3}}
Factor the expressions that are not already factored.
\frac{3x-4}{\left(x-1\right)^{2}}
Cancel out x-1 in both numerator and denominator.
\frac{3x-4}{x^{2}-2x+1}
Expand the expression.
\frac{3\left(x-1\right)^{2}-\left(x-1\right)}{\left(x-1\right)^{3}}
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
\frac{\left(x-1\right)\left(3x-4\right)}{\left(x-1\right)^{3}}
Factor the expressions that are not already factored.
\frac{3x-4}{\left(x-1\right)^{2}}
Cancel out x-1 in both numerator and denominator.
\frac{3x-4}{x^{2}-2x+1}
Expand the expression.