Question 141
For nonnegative real numbers $x \ge 0$, $y \ge 0$ and $z \ge 0$ satisfying $xy + yz + zx = 1$, find the minimum value of the expression
$$
(1+x)(1+y)^2(1+z)^3.
$$
$$
(1+x)(1+y)^2(1+z)^3.
$$
MathNet 2022-part-03 — 197 problems (EN–VI) Question 141
Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)