Esercizio
$\frac{3x^3}{1-x}$
Soluzione passo-passo
1
Dividere $3x^3$ per $1-x$
$\begin{array}{l}\phantom{-x\phantom{;}+1;}{-3x^{2}-3x\phantom{;}-3\phantom{;}\phantom{;}}\\-x\phantom{;}+1\overline{\smash{)}\phantom{;}3x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x\phantom{;}+1;}\underline{-3x^{3}+3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3x^{3}+3x^{2};}\phantom{;}3x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{-x\phantom{;}+1-;x^n;}\underline{-3x^{2}+3x\phantom{;}\phantom{-;x^n}}\\\phantom{;-3x^{2}+3x\phantom{;}-;x^n;}\phantom{;}3x\phantom{;}\phantom{-;x^n}\\\phantom{-x\phantom{;}+1-;x^n-;x^n;}\underline{-3x\phantom{;}+3\phantom{;}\phantom{;}}\\\phantom{;;-3x\phantom{;}+3\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}3\phantom{;}\phantom{;}\\\end{array}$
$-3x^{2}-3x-3+\frac{3}{1-x}$
Risposta finale al problema
$-3x^{2}-3x-3+\frac{3}{1-x}$