Question 178
Find the greatest real $K$ such that for every positive $u$, $v$ and $w$ with $u^2 \gt 4vw$, the inequality
$$
(u^2 - 4vw)^2 \gt K(2v^2 - uw)(2w^2 - uv)
$$
holds. Justify your claim.
$$
(u^2 - 4vw)^2 \gt K(2v^2 - uw)(2w^2 - uv)
$$
holds. Justify your claim.