Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 711: 70

$(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})=1-\sqrt[3]{12}+\sqrt[3]{18}$

$(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})$ Evaluate the product and simplify if possible: $(\sqrt[3]{3}+\sqrt[3]{2})(\sqrt[3]{9}-\sqrt[3]{4})=\sqrt[3]{27}-\sqrt[3]{12}+\sqrt[3]{18}-\sqrt[3]{8}=...$ $...=3-\sqrt[3]{12}+\sqrt[3]{18}-2=1-\sqrt[3]{12}+\sqrt[3]{18}$