For integers mmm and nnn, show that (m+n)2−(m−n)2=4mn(m+n)^2-(m-n)^2=4mn(m+n)2−(m−n)2=4mn. What does this mean for divisibility?
(m+n)2−(m−n)2(m+n)^2-(m-n)^2(m+n)2−(m−n)2 is always divisible by 4
It's divisible by mnmnmn
It's divisible by 2 only
No general divisibility statement