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