Hello: how about X (X-Y) ^ 2-y (Y-X) ^ 2 x ^ 2 / 4 + XY + y ^ 2 using the square difference formula?

Hello: how about X (X-Y) ^ 2-y (Y-X) ^ 2 x ^ 2 / 4 + XY + y ^ 2 using the square difference formula?

Factorization? X (X-Y) ^ 2-y (Y-X) ^ 2 = x (X-Y) ^ 2 + y (X-Y) ^ 2 = (X-Y) ^ 2 (x + y) = (X-Y) (x ^ 2-y ^ 2)
x^2/4+xy+y^2=(1/2·x)+xy+y^2=(1/2·x+y)^2