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(-a)^2 + (-b)^2 +(-c)^2 +2×-a×-b + 2×-b×-c + 2 × -a × -c = a^2+b^2+c^2 +2ab+2bc+2ac (Ans)
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(-a - b - c)²
We know that (x + y + z)² = a² + b² + c² + 2xy + 2yz + 2xx
Here x = -a, y = - b, z = -c
By substituting the values given :
(a - b - c)² = (-a)² + (-b)² + (-c)² + 2(-a)(-b) + 2(-b)(-c) + 2(-a)(-c)
= a² + b² + c² + 2ab + 2bc + 2ac
=> (-a - b - c)² = a² + b² + c² + 2ab + 2bc + 2ac
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