Statement 1: ^3 + ^3 ( + 2 3 )+ ^3 ( + 4 3 )=3 ( + 2 3 ) ( + 4 3 ). Statement 2: If a+b+c=0, then a^3+b^3+c^3=3abc.

JEE Main Mathematics question

Statement 1: . Statement 2: If , then .

(A)Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1Correct
(B)Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1
(C)Statement 1 is True, Statement 2 is False
(D)Statement 1 is False, Statement 2 is True

Answer: (A)

Statement 2 is the standard algebraic identity: if then . TRUE. Take , ,

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Question ID VK-008119