I need help simplifying [(A+1)^(1/3)]-{[(A+1)^(-2/3)]*(A-1)}

Easier to the eye: (A+1)^1/3 - [ (A+1)^-2/3 * (A-1) ]

It has been 4 years since I took this stuff. Thanks!

Multply the first term by (A+1)^2/3 , both numerator and denominator.

That will leave you an (A+1)^2/3, in the denominator.

Now, factor out that 1/(A+1)^2/3 term in the first and second terms, and combine the numerators.