Übung
$\frac{3a^5-11a^3-3a^2+2}{3a^2-2}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $3a^5-11a^3-3a^2+2$ durch $3a^2-2$
$\begin{array}{l}\phantom{\phantom{;}3a^{2}-2;}{\phantom{;}a^{3}\phantom{-;x^n}-3a\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;}3a^{2}-2\overline{\smash{)}\phantom{;}3a^{5}\phantom{-;x^n}-11a^{3}-3a^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3a^{2}-2;}\underline{-3a^{5}\phantom{-;x^n}+2a^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-3a^{5}+2a^{3};}-9a^{3}-3a^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a^{2}-2-;x^n;}\underline{\phantom{;}9a^{3}\phantom{-;x^n}-6a\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}9a^{3}-6a\phantom{;}-;x^n;}-3a^{2}-6a\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a^{2}-2-;x^n-;x^n;}\underline{\phantom{;}3a^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}3a^{2}-2\phantom{;}\phantom{;}-;x^n-;x^n;}-6a\phantom{;}\phantom{-;x^n}\\\end{array}$
$a^{3}-3a-1+\frac{-6a}{3a^2-2}$
Endgültige Antwort auf das Problem
$a^{3}-3a-1+\frac{-6a}{3a^2-2}$