Expansion of (x-y)3+(y-z)3+(z-x)3 is

Question

Expansion of (x-y)3+(y-z)3+(z-x)3 is (A) 2 x3+2 y3+2 z3 (B) (x-y)(y-z)(z-x) (C) 0 (D) 3(x-y)(y-z)(z-x)

Tardigrade Admin · Accepted Answer

Use, if a+b+c=0, then a3+b3+c3=3 a b c.

Q. Expansion of $(x - y)^{3} + (y - z)^{3} + (z - x)^{3}$ is