Question

if X + Y + Z = 0 show that x3 + y3 + Z3= 3 x y z

Answer 1

Hope this picture will help you ^_^

Answer 2

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)

If x+y+z=0, then

x^3+y^3+z^3-3xyz=0

x^3+y^3+z^3=3xyz

(Proved)

Hope it helps...

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