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\frac{1-\frac{2}{x^{2}+1}}{\left(x^{2}+1\right)^{\frac{2}{3}}}
Factor out \frac{1}{\left(x^{2}+1\right)^{\frac{2}{3}}}. Polynomial x^{2}+1 is not factored since it does not have any rational roots.