$2009$ USA TST Inequality
Prove that for positive real numbers $x$, $y$, $z$, $$x^3(y^2+z^2)^2 + y^3(z^2+x^2)^2+z^3(x^2+y^2)^2 \geq xyz\left[xy(x+y)^2 + yz(y+z)^2 + zx(z+x)^2\right]$$
- Atonu Roy Chowdhury
- Posts:64
- Joined:Fri Aug 05, 2016 7:57 pm
- Location:Chittagong, Bangladesh
Re: $2009$ USA TST Inequality
Just substitute $x = 1/a$, $y = 1/b$ and $z = 1/c$.
The rest is so cool.
The rest is so cool.
This was freedom. Losing all hope was freedom.