数学轮换对称式题例1

数学轮换对称式题例1
数学轮换对称式题
例1

数学轮换对称式题例1
左边展开为:
2x²-2xy+2y²-2yz+2z²-2xz
=2x(x-y)+2y(y-z)+2z(z-x)
=2(x-y)(x-z)+2zx-2zy+2(y-z)(y-x)+2xy-2xz+2(z-x)(z-y)+2yz-2yx
=2(x-y)(x-z)+2(y-z)(y-x)+2(z-x)(z-y)