Question

(a+b+c)² + (a-b+c)² + ( a+b-c)²​

Answer 1

Answer:

a + b + c the whole square plus minus b + c the whole square + a + b + c the whole square equal to zero take square root on both sides and cancel the squares cancel minus b and + b and minus and + c A + A + B gives 3 a which is the answer

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Answer 2

Answer:

$(a + b + c) ^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca \\ (a - b + c) ^{2} = {a}^{2} + {b}^{2} + {c}^{2} - 2ab - 2bc + 2ca \\ (a + b - c) ^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab - 2bc - 2ca$

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