IMAC 2010 Problema 5
Posted: Wed Jun 02, 2010 3:19 pm
Sa se demonstreze ca:
\( (x^2+y^2)^3(y^2+z^2)^3(x^2+z^2)^3\ge 8x^4y^4z^4(x^2+xz+2y^2)(y^2+xy+2z^2)(z^2+yz+2x^2) \), \( (\forall) x, y, z\in \mathb{R} \).
Marius Dragan
\( (x^2+y^2)^3(y^2+z^2)^3(x^2+z^2)^3\ge 8x^4y^4z^4(x^2+xz+2y^2)(y^2+xy+2z^2)(z^2+yz+2x^2) \), \( (\forall) x, y, z\in \mathb{R} \).
Marius Dragan