Übung
$\frac{\left(18m^3-93m^2+74m-84\right)}{\left(2m-9\right)}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $18m^3-93m^2+74m-84$ durch $2m-9$
$\begin{array}{l}\phantom{\phantom{;}2m\phantom{;}-9;}{\phantom{;}9m^{2}-6m\phantom{;}+10\phantom{;}\phantom{;}}\\\phantom{;}2m\phantom{;}-9\overline{\smash{)}\phantom{;}18m^{3}-93m^{2}+74m\phantom{;}-84\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2m\phantom{;}-9;}\underline{-18m^{3}+81m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-18m^{3}+81m^{2};}-12m^{2}+74m\phantom{;}-84\phantom{;}\phantom{;}\\\phantom{\phantom{;}2m\phantom{;}-9-;x^n;}\underline{\phantom{;}12m^{2}-54m\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}12m^{2}-54m\phantom{;}-;x^n;}\phantom{;}20m\phantom{;}-84\phantom{;}\phantom{;}\\\phantom{\phantom{;}2m\phantom{;}-9-;x^n-;x^n;}\underline{-20m\phantom{;}+90\phantom{;}\phantom{;}}\\\phantom{;;-20m\phantom{;}+90\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
$9m^{2}-6m+10+\frac{6}{2m-9}$
Endgültige Antwort auf das Problem
$9m^{2}-6m+10+\frac{6}{2m-9}$