Question

Сократите дробь x^3+6x^2-4x-24/(x+2)(x+6)

Answer 1

(x^3+6x^2-4x-24)/(x+2)(x+6)=(x^2(x+6)-4(x+6))/(x+2)(x+6)=(x^2-4)(x+6)/(x+2)(x+6)=(x-2)(x+2(x+6)/(x+2)(x+6)=x-2

Answer 2

$frac{x^3+6x^2-4x-24}{(x+2)(x+6)} = frac{(x+2)(x^2+4x-12)}{(x+2)(x+6)} =$

$= frac{(x^2+4x-12)}{(x+6)} = frac{(x+6)(x-2)}{(x+6)} =x-2$