$$x ^ { 3 } + \frac { 1 } { x ^ { 3 } }$$
$x^{3}+\frac{1}{x^{3}}$
$$\frac{x^{3}x^{3}}{x^{3}}+\frac{1}{x^{3}}$$
$$\frac{x^{3}x^{3}+1}{x^{3}}$$
$$\frac{x^{6}+1}{x^{3}}$$
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$\frac{\left(x^{2}+1\right)\left(x^{4}-x^{2}+1\right)}{x^{3}}$