y=(9+4x-8 sqrt x)/x

Using the quotient rule I get

[x(4-4x^-1/2)-(9+4x-8x^1/2)]x^2

[4x-(4x^1/2)-9-4x+(8x^1/2)]x^2

[(8x^1/2)-9]x^2

My final answer is (4sqrtx-9)/x^2

However the boosk final answer is

-9/x^2 + 4/xsqrtx

It has been a year since I took trig and I know my algebra is horrible but how did they get 4/xsqrtx from 4sqrtx/x^2

Thanks for the help.