Question 72
For nonnegative real numbers $a,b,c\ge0$ satisfying $a+b+c\le1$, prove that
$$
(b+ac)^4+c^2\ge(ab+c)^4+c^2a^4.
$$
(Proposed by Otgonbayar Uuye)
$$
(b+ac)^4+c^2\ge(ab+c)^4+c^2a^4.
$$
(Proposed by Otgonbayar Uuye)
MathNet 2021 — Part 10 Question 72
Math Olympiad Vault · MathNet 2021 — Part 10