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The value of the expression (a − b)2 + (b − c)2 + (c − a)2 is : (b − c)(c − a) (a − b)(c − a) (a − b)(b − c)
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- 0
- 3
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1 3 - 2
Correct Option: B
| + | + | |||
| (b − c)(c − a) | (a − b)(c − a) | (a − b)(b − c) |
| = | + | + | |||
| (a − b)(b − c)(c − a) | (a − b)(b − c)(c − a) | (a − b)(b − c)(c − a) |
| = | |
| (a − b)(b − c)(c − a) |
[∵ [a – b + b – c + c – a = 0]]
| = | = 3 | |
| (a − b)(b − c)(c − a) |
[a + b + x = 0,
∵ a3 + b3 + c3 = 3abc]
