Esercizio
$\frac{x^3}{1-2x}$
Soluzione passo-passo
1
Dividere $x^3$ per $1-2x$
$\begin{array}{l}\phantom{-2x\phantom{;}+1;}{\frac{1}{-2}x^{2}+\frac{0.5}{-2}x\phantom{;}+\frac{0.25}{-2}\phantom{;}\phantom{;}}\\-2x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-2x\phantom{;}+1;}\underline{-x^{3}+0.5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}+0.5x^{2};}\phantom{;}0.5x^{2}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{-2x\phantom{;}+1-;x^n;}\underline{-0.5x^{2}+0.25x\phantom{;}\phantom{-;x^n}}\\\phantom{;-0.5x^{2}+0.25x\phantom{;}-;x^n;}\phantom{;}0.25x\phantom{;}\phantom{-;x^n}\\\phantom{-2x\phantom{;}+1-;x^n-;x^n;}\underline{-0.25x\phantom{;}+0.125\phantom{;}\phantom{;}}\\\phantom{;;-0.25x\phantom{;}+0.125\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}0.125\phantom{;}\phantom{;}\\\end{array}$
$\frac{1}{-2}x^{2}+\frac{0.5}{-2}x+\frac{0.25}{-2}+\frac{0.125}{1-2x}$
Risposta finale al problema
$\frac{1}{-2}x^{2}+\frac{0.5}{-2}x+\frac{0.25}{-2}+\frac{0.125}{1-2x}$