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x^{21}+1
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x^{21}+1
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\frac{\left(x+1\right)x^{2}\left(x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1\right)\left(x^{14}-x^{7}+1\right)}{x^{2}}
Factor the expressions that are not already factored.
\left(x+1\right)\left(x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1\right)\left(x^{14}-x^{7}+1\right)
Cancel out x^{2} in both numerator and denominator.
x^{21}+1
Expand the expression.
\frac{\left(x+1\right)x^{2}\left(x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1\right)\left(x^{14}-x^{7}+1\right)}{x^{2}}
Factor the expressions that are not already factored.
\left(x+1\right)\left(x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1\right)\left(x^{14}-x^{7}+1\right)
Cancel out x^{2} in both numerator and denominator.
x^{21}+1
Expand the expression.
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