$\begin{array}{l}\phantom{\phantom{;}3x^{2}+2;}{\phantom{;}27x^{6}\phantom{-;x^n}-18x^{4}\phantom{-;x^n}+12x^{2}\phantom{-;x^n}-8\phantom{;}\phantom{;}}\\\phantom{;}3x^{2}+2\overline{\smash{)}\phantom{;}81x^{8}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-16\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3x^{2}+2;}\underline{-81x^{8}\phantom{-;x^n}-54x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-81x^{8}-54x^{6};}-54x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}+2-;x^n;}\underline{\phantom{;}54x^{6}\phantom{-;x^n}+36x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}54x^{6}+36x^{4}-;x^n;}\phantom{;}36x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}+2-;x^n-;x^n;}\underline{-36x^{4}\phantom{-;x^n}-24x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-36x^{4}-24x^{2}-;x^n-;x^n;}-24x^{2}\phantom{-;x^n}-16\phantom{;}\phantom{;}\\\phantom{\phantom{;}3x^{2}+2-;x^n-;x^n-;x^n;}\underline{\phantom{;}24x^{2}\phantom{-;x^n}+16\phantom{;}\phantom{;}}\\\phantom{;;;\phantom{;}24x^{2}+16\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\\\end{array}$

$27x^{6}-18x^{4}+12x^{2}-8$