question_answer

\[{{x}^{3}}\left( y-z \right)+{{y}^{3}}\left( z-x \right)+{{z}^{3}}(x-y)\] is equal to:

A) \[(x+y+z)(x-y)(y-z)(z-x)\]

B) \[(x+y+z)(x-y-z)(x-y)(y-z)\]

C) \[(x+y+z)(x-y)(y-z)(x-z)\]

D) \[({{x}^{3}}+{{y}^{3}}+{{z}^{3}})(x-y)(y-z)(z-x)\]

E) None of these