hey..just wanted to check if im doing this correctly

Find the Taylor polynomial of degree 4 for the function f(x) = x^(3/2) about the centre c=1

the 1st 5 terms i got is...

1, 3/2, 3/4, -3/8, 9/16

Now im not quite sure if im writing the series correctly..

1 + 3/2(3/2 - 1) + 3/4(3/4 -1) - 3/8(-3/8 -1)^2/2! + 9/16(9/16 - 1)^3/3!

am i correct?? or should i just leave the bracket as (x - 1)^2 / 2! and so on......

Thanks