Exercice
$\frac{4x^2-9}{x+3}$
Solution étape par étape
1
Diviser $4x^2-9$ par $x+3$
$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}4x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}4x^{2}\phantom{-;x^n}-9\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-4x^{2}-12x\phantom{;}\phantom{-;x^n}}\\\phantom{-4x^{2}-12x\phantom{;};}-12x\phantom{;}-9\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}12x\phantom{;}+36\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}12x\phantom{;}+36\phantom{;}\phantom{;}-;x^n;}\phantom{;}27\phantom{;}\phantom{;}\\\end{array}$
$4x-12+\frac{27}{x+3}$
Réponse finale au problème
$4x-12+\frac{27}{x+3}$