To simplify expressions like $\sqrt{8}(2 - 5\sqrt{8})$ and $\sqrt[3]{3}(-\sqrt[3]{9} - \sqrt[3]{6})$, apply the Distributive Property to multiply the terms, then simplify the resulting radicals. For the first expression, distributing yields $2\sqrt{8} - 5\sqrt{64}$. Simplifying the perfect square factor from $\sqrt{8}$ and evaluating $\sqrt{64}$ gives $2(2\sqrt{2}) - 5(8)$, which simplifies to $4\sqrt{2} - 40$. For the second expression, distributing yields $- \sqrt[3]{27} - \sqrt[3]{18}$. Since $\sqrt[3]{27}$ is a perfect cube ($3$), the expression simplifies to $-3 - \sqrt[3]{18}$.