Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 65

$3\sqrt[3]{7}+2\sqrt[3]{5}$

Using $a(b+c)=ab+ac$, or the Distributive Property, the given expression, $ 9\sqrt[3]{7}+2\sqrt[3]{5}-6\sqrt[3]{7} ,$ simplifies to \begin{array}{l}\require{cancel} (9\sqrt[3]{7}-6\sqrt[3]{7})+2\sqrt[3]{5} \\\\= (9-6)\sqrt[3]{7}+2\sqrt[3]{5} \\\\= 3\sqrt[3]{7}+2\sqrt[3]{5} .\end{array}