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