If \( \Large a+b+c=0 \), then \( \Large a^{3}+b^{3}+c^{3} \) is equal to

A) \( \Large a^{2} \left(b+c\right)+b^{2} \left(c+a\right)+c^{2} \left(a+b\right) \)

B) \( \Large 3 \left(b+c\right) \left(c+a\right) \left(a+b\right) \)

C) \( \Large 3abc \)

D) \( \Large 6a^{2}b^{2}c^{2} \)

Correct answer:
C) \( \Large 3abc \)



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