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