what we be the answer
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Identity used: If a+b+c = 0, then a³ + b³ + c³ = 3abc
3x = a + b + c
=> x + x + x = a + b + c
On transposing (a+b+c) from RHS to LHS,
=> (x-a) + (x-b) + (x-c) = 0
Let x-a = m, x-b = n, x-c = o.
=> m + n + o = 0 (eqn 1)
And on putting these values in the question's expression,
we get, m³ + n³ + o³ -3mno
[since, m+n+o = 0 (eqn 1)
=> m³ + n³ + o³ = 3mno]
= 3mno - 3mno
= 0
Thus, correct answer is (c) 0
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