(x²+2x-8)/(x³+2x²)÷(x-2)/x÷(x+4)/(x+1)=(x-2)(x+4)/x^2(x+2)*x/(x-2)*(x+1)/(x+4)=(x-2)(x+4)*x*(x+1)/[x^2(x+2)(x-2)(x+4)]=(x-2)*x*(x+1)/[x^2(x+2)(x-2)]=x*(x+1)/[x^2(x+2)]=(x+1)/[x(x+2)]