Question

\(M=\dfrac{x^5+x^4\sqrt[3]{6}+x^3\sqrt[3]{36}}{\left|x^3-3\right|-3}\)

Rút gọn M và tính M khi \(x=2\sqrt[3]{6}\)

Answer 1

\(M=\dfrac{x^3\left(x^2+x\sqrt[3]{6}+\sqrt[3]{36}\right)}{\left|x^3-3\right|-3}=\dfrac{48\left(4\sqrt[3]{36}+2\sqrt[3]{36}+\sqrt[3]{36}\right)}{48-3-3}\\ M=\dfrac{48\cdot7\sqrt[3]{36}}{42}=8\sqrt[3]{36}\)