Understanding y'=2/3x-1/3(x2-4)+x2/3*2x

[yoleven]

Homework Statement

y=x^2/3(x²-4)

Homework Equations

The Attempt at a Solution

1.y'=2/3x^-1/3(x²-4)+x^2/3*2x

2.y'=2x²-8+2x^5/2/3(x^1/3)

the book agrees with my unsimplified (#1)derivative but it goes further to simplify the equation as
y'= 8x²-8/3(x^1/3)

I can't see how they got 2(x²-4)+x^2/3*2x to be 8x²-8
in the numerator.
Would someone explain this to me?

 

[Mark44]

It's difficult to tell in your second expression what's in the numerator and what's in the denominator.

Is 8x^2 - 8 in the numerator?
Are both 3 and x^(1/3) in the denominator?

I can't explain it to you if I don't know what you wrote.