Question 3Consider the function $g(x)=Ax^2+Bx$, where $A$ and $B$ are constants. Assume that $u,v$ are two numbers such that $$g(u-3)=g(v+3),\qquad u-v\ne6.$$ Find the largest possible value of $A(g(u+v))^2+Bg(u+v)$.