Explicação passo-a-passo:

[tex] (\sqrt[3]{ {3}^{2} } + \frac{1}{ \sqrt[3]{3} } )( \sqrt[3]{3} + \sqrt[3]{3 \times 8} ) \\ = \sqrt[3]{ {3}^{2} } \times \sqrt[3]{3} + \frac{1}{ \sqrt[3]{3} } \times \sqrt[3]{3} + \sqrt[3]{ {3}^{2} } \times \sqrt[3]{3 \times 8} + \frac{1}{ \sqrt[3]{3} } \times \sqrt[3]{3 \times 8} \\ = \sqrt[3]{ {3}^{3} } + 1 + \sqrt[3]{ {3}^{3} } \times \sqrt[3]{ {2}^{3} } + \sqrt[3]{ {2}^{3} } \\ = 3 + 1 + 3 \times 2 + 2 \\ = 12 \\ [/tex]