(x^2+2x-8)/(x^3+2x^2+x)/{(x-2)/x .(x+4)/(x+1)
=(x+4)(x-2)/[x(x+1)^2]/{(x+4)(x-2)/[x(x+1)]}
=1/[x(x+1)^2]/{1/[x(x+1)]}
=1/[x(x+1)^2][x(x+1)]
=1/(x+1)
=1/(1+4/5)
=5/9
(x^2+2x-8)/(x^3+2x^2+x)/{(x-2)/x .(x+4)/(x+1)
=(x+4)(x-2)/[x(x+1)^2]/{(x+4)(x-2)/[x(x+1)]}
=1/[x(x+1)^2]/{1/[x(x+1)]}
=1/[x(x+1)^2][x(x+1)]
=1/(x+1)
=1/(1+4/5)
=5/9