Can anyone explain to me how to get to the second step?
I don't understand how the X^(5/2) - 7(square X) + X^(-1/2) came from.
We can first split the fraction up to:
(Nevermind, can't get the LaTeX right, just refer above)
Note: $\displaystyle \sqrt{x} = x^{1/2}$
Now, when we divide by x's of different powers, we can subtract the exponents.
$\displaystyle 3 - \frac{1}{2} = \frac{5}{2} $
So that's where the x^5/2 came from...
You should be able to finish it from here, just keep subtracting the powers.