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\frac{\left(x-4\right)\left(x-3\right)\left(x-2\right)^{2}}{\left(x-4\right)\left(x-3\right)}
Factor the expressions that are not already factored.
\left(x-2\right)^{2}
Cancel out \left(x-4\right)\left(x-3\right) in both numerator and denominator.
x^{2}-4x+4
Expand the expression.
\frac{\left(x-4\right)\left(x-3\right)\left(x-2\right)^{2}}{\left(x-4\right)\left(x-3\right)}
Factor the expressions that are not already factored.
\left(x-2\right)^{2}
Cancel out \left(x-4\right)\left(x-3\right) in both numerator and denominator.
x^{2}-4x+4
Expand the expression.