Squareds in the middle of terms make is so confusing.
Ill explain potatoes.
Proof:
If a^2+b^2+c^2 > ab+ac+bc,
a=ab
b=bc
c=ac
then (ab)^2+(bc)^2+(ca)^2 > ac(b^2) + ba(c^2) + cb(a^2)
Take abc out of the RHS
(ab)^2+(bc)^2+(ca)^2 > abc(a+b+c)
take a + b + c over the other side.
(a^2b^2...