Question 23
Show that
$$
\left(a+2b+\frac{2}{a+1}\right)\left(b+2a+\frac{2}{b+1}\right) \ge 16,
$$
for all positive real numbers $a$ and $b$ such that $ab \ge 1$.
$$
\left(a+2b+\frac{2}{a+1}\right)\left(b+2a+\frac{2}{b+1}\right) \ge 16,
$$
for all positive real numbers $a$ and $b$ such that $ab \ge 1$.