Answer
$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$
Work Step by Step
$(\sqrt[3]{a}+2)(\sqrt[3]{a}+7)$
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:
$...=\sqrt[3]{a^{2}}+(7+2)\sqrt[3]{a}+14=\sqrt[3]{a^{2}}+9\sqrt[3]{a}+14$