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