Exercice
$\frac{6h^3-6h+11-11h^2}{2h-1}$
Solution étape par étape
1
Diviser $6h^3-6h+11-11h^2$ par $2h-1$
$\begin{array}{l}\phantom{\phantom{;}2h\phantom{;}-1;}{\phantom{;}3h^{2}-4h\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;}2h\phantom{;}-1\overline{\smash{)}\phantom{;}6h^{3}-11h^{2}-6h\phantom{;}+11\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2h\phantom{;}-1;}\underline{-6h^{3}+3h^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-6h^{3}+3h^{2};}-8h^{2}-6h\phantom{;}+11\phantom{;}\phantom{;}\\\phantom{\phantom{;}2h\phantom{;}-1-;x^n;}\underline{\phantom{;}8h^{2}-4h\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8h^{2}-4h\phantom{;}-;x^n;}-10h\phantom{;}+11\phantom{;}\phantom{;}\\\phantom{\phantom{;}2h\phantom{;}-1-;x^n-;x^n;}\underline{\phantom{;}10h\phantom{;}-5\phantom{;}\phantom{;}}\\\phantom{;;\phantom{;}10h\phantom{;}-5\phantom{;}\phantom{;}-;x^n-;x^n;}\phantom{;}6\phantom{;}\phantom{;}\\\end{array}$
$3h^{2}-4h-5+\frac{6}{2h-1}$
Réponse finale au problème
$3h^{2}-4h-5+\frac{6}{2h-1}$