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\frac{x^{2}-4x+4}{\left(3x-6\right)\left(x-2\right)}
Express \frac{\frac{x^{2}-4x+4}{3x-6}}{x-2} as a single fraction.
\frac{\left(x-2\right)^{2}}{3\left(x-2\right)^{2}}
Factor the expressions that are not already factored.
\frac{1}{3}
Cancel out \left(x-2\right)^{2} in both numerator and denominator.