Cyclic
Algebra
Level
4
Positive real \(a\), \(b\), \(c\), and \(d\) are such that \(a + b + c + d = 1\), find the minimum of:
\[\frac{a^3}{b + c} + \frac{b^3}{c + d} + \frac{c^3}{d + a} + \frac{d^3}{a + b} .\]
This is part of the set My Problems and THRILLER
by
Ankit Kumar Jain