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The numerical value of (a - b)2 + (b - c)2 + (c - a)2 is (a ≠ b ≠ c) (b - c)(c - a) (c - a)(a - b) (a - b)(b - c)
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- 0
- 1
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1 3
- 3
- 0
Correct Option: D
| Expression = | + | + | ||||
| (b - c)(c - a) | (c - a)(a - b) | (a - b)(b - c) |
| Expression = | ||
| (a - b)(b - c)(c - a) |
| Expression = | = 3 | |
| (a - b)(b - c)(c - a) |
[Here, a – b + b – c + c – a = 0.
If x + y + z = 0, x3 + y3 + z3 = 3xyz ]
