Question

multiply and simplify
(x^1/3 +x^-1/3)^2

Answer 1

use
\[(a+b)^2=a^2+2ab+b^2\] with
\[a=x^{\frac{1}{3}}\] and
\[b=x^{-\frac{1}{3}}\]

Answer 2

get
\[x^{\frac{2}{3}}+2x^0+x^{-\frac{2}{3}}\]

\[=x^{\frac{2}{3}}+2+x^{-\frac{2}{3}}\]