$$a^{4}-6a-4\div a-2$$
$a^{4}-6a-2-\frac{4}{a}$
$$\frac{\left(a^{4}-6a-2\right)a}{a}-\frac{4}{a}$$
$$\frac{\left(a^{4}-6a-2\right)a-4}{a}$$
$$\frac{a^{5}-6a^{2}-2a-4}{a}$$
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$\frac{\left(a-2\right)\left(a^{4}+2a^{3}+4a^{2}+2a+2\right)}{a}$
