Question

Exercises 5.1
1. If u = x2(y-z) + y2 (z-x)+z2(x - y). prove that uz +uy+uz = 0​

Answer 1

Answer:

u=2x(y-z)+2y(z-x)+2z(x-y)

u=2xy-2xz+2yz-2yx+2zx-2zy

u=0

then,

anything multiply 0is 0.

so,uz=0

uy=0

ux=0

ux+uy+uz=0 (Hence proved)