How do I simplify this answer

For a u substitution problem where I take the integral of x/(x+1)^0.5, I get the integral to be 2/3(x+1)^0.5 -2(x+1)^1/2+C.
the textbook though says the simplified answer is 2/3(x+1)^0.5*(x-2)+C.

if someone could please explain to me how they simplified the answer (i know they factored out (x+1)^0.5, but i still don't get how they simplified it) in a step by step format, i would really appreciate the help.

You should have got

(2/3)*(x + 1)^3/2 - 2*(x + 1)^1/2

You are right about taking out common factor (x + 1)^1/2

(x + 1)^1/2 * [(2/3)(x + 1) - 2] = (x + 1)^1/2 * (2x/3 - 4/3)

Now take out 2/3 as another common factor.

(2/3)*(x + 1)^1/2 * (x - 2)