\(=\left(\sqrt[3]{3}\right)^3+3\cdot\sqrt[3]{3^2}\cdot\sqrt[3]{2}+3\cdot\sqrt[3]{3\cdot2^2}+2\)
\(=5+3\cdot\sqrt[3]{18}+3\sqrt[3]{12}\)
\(\left(\sqrt[3]{3}+\sqrt[3]{2}\right)^3=\left(\sqrt[3]{3}\right)^3+3\left(\sqrt[3]{3}\right)^2\sqrt[3]{2}+3\sqrt[3]{3}\left(\sqrt[3]{2}\right)^2+\left(\sqrt[3]{2}\right)^3\)
\(=3+3\sqrt[3]{18}+3\sqrt[3]{12}+2=5+3\sqrt[3]{18}+3\sqrt[3]{12}\)
\(\left(\sqrt[3]{3}+\sqrt[3]{2}\right)^3\)
\(=5+3\sqrt[3]{4}\sqrt[3]{3}+3\sqrt[3]{2}\sqrt[3]{9}\)
\(=5+3\sqrt[3]{12}+3\sqrt[3]{2}\sqrt[3]{9}\)
\(=5+3\sqrt[3]{12}+3\sqrt[3]{18}\)