Ejercicio
$\frac{m^3+2}{m+2}$
Solución explicada paso por paso
1
Realizamos la división de polinomios, $m^3+2$ entre $m+2$
$\begin{array}{l}\phantom{\phantom{;}m\phantom{;}+2;}{\phantom{;}m^{2}-2m\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}m\phantom{;}+2\overline{\smash{)}\phantom{;}m^{3}\phantom{-;x^n}\phantom{-;x^n}+2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}m\phantom{;}+2;}\underline{-m^{3}-2m^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-m^{3}-2m^{2};}-2m^{2}\phantom{-;x^n}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}+2-;x^n;}\underline{\phantom{;}2m^{2}+4m\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}2m^{2}+4m\phantom{;}-;x^n;}\phantom{;}4m\phantom{;}+2\phantom{;}\phantom{;}\\\phantom{\phantom{;}m\phantom{;}+2-;x^n-;x^n;}\underline{-4m\phantom{;}-8\phantom{;}\phantom{;}}\\\phantom{;;-4m\phantom{;}-8\phantom{;}\phantom{;}-;x^n-;x^n;}-6\phantom{;}\phantom{;}\\\end{array}$
2
Polinomio resultado de la división
$m^{2}-2m+4+\frac{-6}{m+2}$
Respuesta final al problema
$m^{2}-2m+4+\frac{-6}{m+2}$