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