Evaluate
\frac{x^{8}+x^{4}+1}{x^{4}+1}
Expand
\frac{x^{8}+x^{4}+1}{x^{4}+1}
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\frac{\left(x-1\right)\left(x+1\right)\left(x^{2}+1\right)\left(x^{2}+x+1\right)\left(x^{2}-x+1\right)\left(x^{4}-x^{2}+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}+1\right)\left(x^{4}+1\right)}
Factor the expressions that are not already factored.
\frac{\left(x^{2}+x+1\right)\left(x^{2}-x+1\right)\left(x^{4}-x^{2}+1\right)}{x^{4}+1}
Cancel out \left(x-1\right)\left(x+1\right)\left(x^{2}+1\right) in both numerator and denominator.
\frac{x^{8}+x^{4}+1}{x^{4}+1}
Expand the expression.
\frac{\left(x-1\right)\left(x+1\right)\left(x^{2}+1\right)\left(x^{2}+x+1\right)\left(x^{2}-x+1\right)\left(x^{4}-x^{2}+1\right)}{\left(x-1\right)\left(x+1\right)\left(x^{2}+1\right)\left(x^{4}+1\right)}
Factor the expressions that are not already factored.
\frac{\left(x^{2}+x+1\right)\left(x^{2}-x+1\right)\left(x^{4}-x^{2}+1\right)}{x^{4}+1}
Cancel out \left(x-1\right)\left(x+1\right)\left(x^{2}+1\right) in both numerator and denominator.
\frac{x^{8}+x^{4}+1}{x^{4}+1}
Expand the expression.
Examples
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Simultaneous equation
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Limits
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