If \( a+b+c=0 \), show that \( a^{3}+b^{3}+c^{3}=3 a b c \) The following are the steps involved...

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If \( a+b+c=0 \), show that \( a^{3}+b^{3}+c^{3}=3 a b c \) The following are the steps involved in showing the above result. Arrange them in sequential order.
(A) \( a^{3}+b^{3}+3 a b(-c)=-c^{3} \)
(B) \( (a+b)^{3}=(-c)^{3} \)
(C) \( a+b+c=\mathrm{O} \Longrightarrow a+b=-c \)
(I) \( a^{3}+b^{3}+3 a b(a+b)=-c^{3} \)
(E) \( a^{3}+b^{3}+c^{3}=3 a b c \)
(a) ABIDCE
(b) BCIDAE
(c) CBIDAE
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