Question

已知 y+z-x/x+y+z=z+x-y/y+z-x=x+y-z/z+x-y=p

已知 y+z-x/x+y+z = z+x-y/y+z-x = x+y-z/z+x-y =P,则P^3+P^2+P=?
填空题

Answer 1

y+z-x=px+py-pz .①
z+x-y=py+pz-px.②
x+y+z=pz+px-py.③
将上述1.2.3相加
得 x+y+z=p(x+y+z)
所以P=1
P^3+P^2+P=3
题目应该有要求X+Y+Z不等于0吧