✔ 最佳答案
x²(y+z) + y²(z-x) + z²(y-x) - 2xyz= x²y + x²z + y²z - y²x + z²y - z²x - 2xyz= (x²y - y²x) + (z²y - z²x) + (x²z + y²z - 2xyz)= (x - y)xy + (y - x)z² + z(x - y)²= (x - y) ( xy - z² + z(x - y) )= (x - y) ( x(y + z) - z(z + y) )= (x - y) (y + z) (x - z)