If (a - b)2 + (a + b)2 = 24, then a2 + b2 =
(A) 4
(B) 12
(C) 16
(D) 18

(B) 12

Hi there !

(a - b)² + (a + b)² = 24

(a² - 2ab + b²) + (a² + 2ab + b²) = 24

a² + a² + b² + b² - 2ab + 2ab = 24

2a² + 2b² = 24 | : 2

a² + b² = 12

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