Question

已知(y+z-x)/(x+y+z)=(z+x-y)/(y+z-x)=(x+y-z)/(z+x-y)=p,求p^3+p^2

Answer 1

那个?x+y+z不=0啊,做分母啊

p^3=(z+x-y)/(y+z-x) * (x+y-z)/(z+x-y) * (y+z-x)/(x+y+z)

= (x+y-z)/(x+y+z)

p^2 = (y+z-x)/(x+y+z) * (z+x-y)/(y+z-x)

= (z+x-y)/(z+x+y)

p = (y+z-x)/(x+y+Z)

p^3+p^2+p= (x+y-z+z+x-y+z-x+y)/(z+x+y)

= 1