$$\frac{ 1 }{ 3 { x }^{ 3 } } -9$$
$-9+\frac{1}{3x^{3}}$
$$\frac{1}{3x^{3}}-\frac{9\times 3x^{3}}{3x^{3}}$$
$$\frac{1-9\times 3x^{3}}{3x^{3}}$$
$$\frac{1-27x^{3}}{3x^{3}}$$
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$-\frac{\frac{1}{3}\left(3x-1\right)\left(9x^{2}+3x+1\right)}{x^{3}}$