Hi there guys, I'm having alot of trouble verifying the following:

Verify that the maximum of

$\displaystyle \displaystyle x(1-x)y(1-y)w(1-w)(1-(1-xy)w)^{-1}$

occurs for $\displaystyle x=y$, and then that

$\displaystyle \displaystyle \frac{x(1-x)y(1-y)w(1-w)}{(1-(1-xy)w)} \leq (\sqrt 2 - 1)^4$

Thanks guys.