Question

Simplifique: x³+8/x²+4x+4

Answer 1

Fatorando :

$\frac{x^3+8}{x^2+4x+4} \\ \\ \frac{x^3+2^3}{x^2+4x+4} \\ \\ \frac{(x+2)(x^2-2x+4)}{(x+2)^2} \\ \\ \frac{(x+2)(x^2-2x+4)}{(x+2)(x+2)} \\ \\ \\\boxed{ \frac{x^2-2x+4}{x+2} }$