If a + b = 5 and a – b = 3, then the value of (a2 + b2)

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a + b = 5
a – b = 3
∵ (a + b)² + (a – b)²
= 2 (a² + b²)
⇒ 2 (a² + b²) = 5² + 3²
= 25 + 9 = 34

⇒ a² + b² =	34	= 17
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