Exercice
$\frac{9a^4-2-6a-a^2}{3a-1}$
Solution étape par étape
1
Diviser $9a^4-2-6a-a^2$ par $3a-1$
$\begin{array}{l}\phantom{\phantom{;}3a\phantom{;}-1;}{\phantom{;}3a^{3}+a^{2}\phantom{-;x^n}-2\phantom{;}\phantom{;}}\\\phantom{;}3a\phantom{;}-1\overline{\smash{)}\phantom{;}9a^{4}\phantom{-;x^n}-a^{2}-6a\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}3a\phantom{;}-1;}\underline{-9a^{4}+3a^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-9a^{4}+3a^{3};}\phantom{;}3a^{3}-a^{2}-6a\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a\phantom{;}-1-;x^n;}\underline{-3a^{3}+a^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-3a^{3}+a^{2}-;x^n;}-6a\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}3a\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}6a\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}6a\phantom{;}-2\phantom{;}\phantom{;}-;x^n-;x^n;}-4\phantom{;}\phantom{;}\\\end{array}$
$3a^{3}+a^{2}-2+\frac{-4}{3a-1}$
Réponse finale au problème
$3a^{3}+a^{2}-2+\frac{-4}{3a-1}$