If a + b + c = 0, then find the value of (a^2 + b^2 + 2ab).

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Given: a + b + c = 0
=> a + b = -c

We need to find the value of a^2 + b^2 + 2ab.

Recall the algebraic identity:
(a + b)^2 = a^2 + b^2 + 2ab

From the given, a + b = -c
So, (a + b)^2 = (-c)^2 = c^2

Therefore, a^2 + b^2 + 2ab = c^2.

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