Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 710: 56

$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$

$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)$ Evaluate the product: $(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)=\sqrt[3]{a^{2}}+7\sqrt[3]{a}+2\sqrt[3]{a}+14=...$ Simplify by combining like terms: $...=\sqrt[3]{a^{2}}+(7+2)\sqrt[3]{a}+14=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$