$\begin{array}{l}\phantom{\phantom{;}3x^{3}+1;}{\phantom{;}27x^{9}\phantom{-;x^n}\phantom{-;x^n}-9x^{6}\phantom{-;x^n}\phantom{-;x^n}+3x^{3}\phantom{-;x^n}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{;}3x^{3}+1\overline{\smash{)}\phantom{;}81x^{12}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{3}+1;}\underline{-81x^{12}\phantom{-;x^n}\phantom{-;x^n}-27x^{9}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-81x^{12}-27x^{9};}-27x^{9}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{3}+1-;x^n;}\underline{\phantom{;}27x^{9}\phantom{-;x^n}\phantom{-;x^n}+9x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}27x^{9}+9x^{6}-;x^n;}\phantom{;}9x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{3}+1-;x^n-;x^n;}\underline{-9x^{6}\phantom{-;x^n}\phantom{-;x^n}-3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-9x^{6}-3x^{3}-;x^n-;x^n;}-3x^{3}\phantom{-;x^n}\phantom{-;x^n}-1\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{3}+1-;x^n-;x^n-;x^n;}\underline{\phantom{;}3x^{3}\phantom{-;x^n}\phantom{-;x^n}+1\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}3x^{3}+1\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\\\end{array}$

$27x^{9}-9x^{6}+3x^{3}-1$