Answer
$x^{2/3}-3x^{1/3}-10$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method and the properties of radicals, the expression $
(x^{1/3}-5)(x^{1/3}+2)
$ is equivalent to
\begin{array}{l}
x^{1/3}(x^{1/3})+x^{1/3}(2)-5(x^{1/3})-5(2)
\\\\=
x^{\frac{1}{3}+\frac{1}{3}}+2x^{1/3}-5x^{1/3}-10
\\\\=
x^{2/3}-3x^{1/3}-10
.\end{array}
