$${ x }^{ 2 } -8 \div x-2$$
$x^{2}-2-\frac{8}{x}$
$$\frac{\left(x^{2}-2\right)x}{x}-\frac{8}{x}$$
$$\frac{\left(x^{2}-2\right)x-8}{x}$$
$$\frac{x^{3}-2x-8}{x}$$
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$\frac{x^{3}-2x-8}{x}$