For non-negative integers, the product of max and min recovers a·b, and the difference of their squares factors as (max − min)(a + b)
Exhibiting non-negative integers a, b where (max(a,b) - min(a,b)) * (a + b) differs from max(a,b)^2 - min(a,b)^2, or where max(a,b)*min(a,b) != a*b.