Finally learned the reason theorem, qwq
Factorization: (xy) ^ 3 + (yz) ^ 3 + (xz) ^ 3
When x = y, xy = 0, so the result of the decomposition of the formula must have a (xy)
When when y = z, yz = 0, so the result of the decomposition of the formula must have a (YZ)
When x = z, xz = 0, so that the decomposition of the factorization must have a (an xz)
When x = 1, y = 2, z = 3 when
(x-y)^3+(y-z)^3+(x-z)^3=3*(x-y)*(y-z)*(x-z)
So the original formula = 3 * (xy) * (yz) * (xz)