#### Answer

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

#### Work Step by Step

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