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\frac{\left(n-1\right)\left(n+1\right)\left(n^{4}-n^{3}+n^{2}-n+1\right)\left(n^{4}+n^{3}+n^{2}+n+1\right)}{\left(n-1\right)\left(n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1\right)}
Factor the expressions that are not already factored.
\frac{\left(n+1\right)\left(n^{4}-n^{3}+n^{2}-n+1\right)\left(n^{4}+n^{3}+n^{2}+n+1\right)}{n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}
Cancel out n-1 in both numerator and denominator.
\frac{n^{9}+n^{8}+n^{7}+n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}{n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}
Expand the expression.
\frac{\left(n-1\right)\left(n+1\right)\left(n^{4}-n^{3}+n^{2}-n+1\right)\left(n^{4}+n^{3}+n^{2}+n+1\right)}{\left(n-1\right)\left(n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1\right)}
Factor the expressions that are not already factored.
\frac{\left(n+1\right)\left(n^{4}-n^{3}+n^{2}-n+1\right)\left(n^{4}+n^{3}+n^{2}+n+1\right)}{n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}
Cancel out n-1 in both numerator and denominator.
\frac{n^{9}+n^{8}+n^{7}+n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}{n^{6}+n^{5}+n^{4}+n^{3}+n^{2}+n+1}
Expand the expression.