Esercizio
$\frac{\left(y^8-9\right)}{\left(y^4+8\right)}$
Soluzione passo-passo
1
Dividere $y^8-9$ per $y^4+8$
$\begin{array}{l}\phantom{\phantom{;}y^{4}+8;}{\phantom{;}y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-8\phantom{;}\phantom{;}}\\\phantom{;}y^{4}+8\overline{\smash{)}\phantom{;}y^{8}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}y^{4}+8;}\underline{-y^{8}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-8y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-y^{8}-8y^{4};}-8y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}-9\phantom{;}\phantom{;}\\\phantom{\phantom{;}y^{4}+8-;x^n;}\underline{\phantom{;}8y^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+64\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}8y^{4}+64\phantom{;}\phantom{;}-;x^n;}\phantom{;}55\phantom{;}\phantom{;}\\\end{array}$
$y^{4}-8+\frac{55}{y^4+8}$
Risposta finale al problema
$y^{4}-8+\frac{55}{y^4+8}$