Esercizio
$\frac{x^4}{x^2-4}$
Soluzione passo-passo
1
Dividere $x^4$ per $x^2-4$
$\begin{array}{l}\phantom{\phantom{;}x^{2}-4;}{\phantom{;}x^{2}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{;}x^{2}-4\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}-4;}\underline{-x^{4}\phantom{-;x^n}+4x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+4x^{2};}\phantom{;}4x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}-4-;x^n;}\underline{-4x^{2}\phantom{-;x^n}+16\phantom{;}\phantom{;}}\\\phantom{;-4x^{2}+16\phantom{;}\phantom{;}-;x^n;}\phantom{;}16\phantom{;}\phantom{;}\\\end{array}$
$x^{2}+4+\frac{16}{x^2-4}$
Risposta finale al problema
$x^{2}+4+\frac{16}{x^2-4}$