x+y+z=0求 x3+y3+z3=?

问题描述:

x+y+z=0求 x3+y3+z3=?

X3+Y3+Z3=3(X+Y+Z)=0

答案=0,X3,Y3,Z3只是XYZ的解而已,不管怎么样,他们的结果只有一个就是等于0

(x+y+z)^3=0如果你不知道三项的展开式的话 先把x+y看成一项(x+y+z)^3=(x+y)^3+z^3+3(x+y)^2z+3(x+y)z^2=x^3+y^3+z^3+3x^2y+3xy^2+3(x+y)^2z+3(x+y)z^2=x^3+y^3+z^3+3xy(x+y)+3(x+y)^2z+3(x+y)z^2=x^3+y^3+z^3+3(x+...