# Minimum too?

Algebra Level 5

$\large (4x^2+3y)(4y^2+3x)+25xy$ If $$x,y$$ are non-negative reals satisfy $$x+y=1$$, let the sum of the maximum and the minimum value of the expression above be $$\dfrac{m}{n}$$, where $$m$$ and $$n$$ are co-prime positive integers. Find $$m+n$$

• This problem is part of this set.
×