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