Esercizio
$\frac{x^4}{x^2+9}$
Soluzione passo-passo
1
Dividere $x^4$ per $x^2+9$
$\begin{array}{l}\phantom{\phantom{;}x^{2}+9;}{\phantom{;}x^{2}\phantom{-;x^n}-9\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+9\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+9;}\underline{-x^{4}\phantom{-;x^n}-9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}-9x^{2};}-9x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+9-;x^n;}\underline{\phantom{;}9x^{2}\phantom{-;x^n}+81\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}9x^{2}+81\phantom{;}\phantom{;}-;x^n;}\phantom{;}81\phantom{;}\phantom{;}\\\end{array}$
$x^{2}-9+\frac{81}{x^2+9}$
Risposta finale al problema
$x^{2}-9+\frac{81}{x^2+9}$