$$x^{4}+\frac{1}{x^{2}}$$
$x^{4}+\frac{1}{x^{2}}$
$$\frac{x^{4}x^{2}}{x^{2}}+\frac{1}{x^{2}}$$
$$\frac{x^{4}x^{2}+1}{x^{2}}$$
$$\frac{x^{6}+1}{x^{2}}$$
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$\frac{\left(x^{2}+1\right)\left(x^{4}-x^{2}+1\right)}{x^{2}}$