Esercizio
$\frac{8m^6+8m^5-m^3}{2m^2+m}$
Soluzione passo-passo
1
Dividere $8m^6+8m^5-m^3$ per $2m^2+m$
$\begin{array}{l}\phantom{\phantom{;}2m^{2}+m\phantom{;};}{\phantom{;}4m^{4}+2m^{3}-m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;}2m^{2}+m\phantom{;}\overline{\smash{)}\phantom{;}8m^{6}+8m^{5}\phantom{-;x^n}-m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}2m^{2}+m\phantom{;};}\underline{-8m^{6}-4m^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-8m^{6}-4m^{5};}\phantom{;}4m^{5}\phantom{-;x^n}-m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2m^{2}+m\phantom{;}-;x^n;}\underline{-4m^{5}-2m^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-4m^{5}-2m^{4}-;x^n;}-2m^{4}-m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\\\phantom{\phantom{;}2m^{2}+m\phantom{;}-;x^n-;x^n;}\underline{\phantom{;}2m^{4}+m^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;\phantom{;}2m^{4}+m^{3}-;x^n-;x^n;}\\\end{array}$
$4m^{4}+2m^{3}-m^{2}$
Risposta finale al problema
$4m^{4}+2m^{3}-m^{2}$