Esercizio
$\frac{\left(x^6-2\right)}{\left(x^2-\:2\right)}$
Soluzione passo-passo
1
Dividere $x^6-2$ per $x^2-2$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-2;}{\phantom{;}x^{4}\phantom{-;x^n}+2x^{2}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-2\overline{\smash{)}\phantom{;}x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}-2;}\underline{-x^{6}\phantom{-;x^n}+2x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{6}+2x^{4};}\phantom{;}2x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n;}\underline{-2x^{4}\phantom{-;x^n}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-2x^{4}+4x^{2}-;x^n;}\phantom{;}4x^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}-2-;x^n-;x^n;}\underline{-4x^{2}\phantom{-;x^n}+8\phantom{;}\phantom{;}}\\\phantom{;;-4x^{2}+8\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
$x^{4}+2x^{2}+4+\frac{6}{x^2-2}$
Risposta finale al problema
$x^{4}+2x^{2}+4+\frac{6}{x^2-2}$