海地僵尸事件知乎:奥数题求解

来源:百度文库 编辑:中科新闻网 时间:2024/04/29 22:52:38
用三元初等对称式表示x三方+Y的三方+Z的三方的结果

x^3+y^3+z^3
=(x+y)^3+z^3-3xy(x+y)
=(x+y+z)^3-3z(x+y)(x+y+z)-3xy(x+y)
=(x+y+z)^3-3(x+y)(xz+yz+z^2+xy)
=(x+y+z)^3-3(x+y)(z+x)(z+y)

(X+Y+Z)(X^2+Y^2+Z^2-XZ-XY-YZ)+3XYZ