Question 123
Simplify the expression
$$
\left(x+\sqrt[3]{3 \cdot \sqrt{\frac{x^{3}-1}{9}+\frac{x-x^{2}}{3}}}\right) \cdot (x-\sqrt{x-1})
$$
$$
\left(x+\sqrt[3]{3 \cdot \sqrt{\frac{x^{3}-1}{9}+\frac{x-x^{2}}{3}}}\right) \cdot (x-\sqrt{x-1})
$$
MathNet 2003 — Part 02 Question 123
Math Olympiad Vault · MathNet 2003 — Part 02