Question

If 2(a² + b ²) = (a + b)². Prove that a = b.​

Answer 1

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Answer 2

Answer:

$2( {a}^{2} + {b}^{2} ) = {(a + b)}^{2} \\ 2 {a}^{2} + 2 {b}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {a}^{2} + {b}^{2} - 2ab = 0 \\ {(a - b)}^{2} = 0 \\ a - b = 0 \\ a = b$

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