What will be the value of (x – a)3 + (x – b)3 + (x – c)3 – 3 (x – a) (x – b) (x – c) if a + b+c = 3x ?
1
3
0
5
Correct Option: C
x – a + x – b + x – c = 3x – (a + b + c) = 0 ∴ (x – a)3 + (x – b)3 + (x – c)3 – 3 (x – a) (x – b) (x – c) = 0 [∵ a3 + b3 + c3– 3abc = 0 when a + b + c = 0]
