(a+b)2+(a-b)2=2(a2+b2)
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Answer:
(a+b)² = a² + b² + 2ab
(a-b)² = a² + b² - 2ab
(a+b)²+(a-b)²= (a² + b² + 2ab) + (a² + b² - 2ab)
⇒a² + b² + 2ab + a² + b² - 2ab
⇒2a² + 2b²
⇒(a+b)²+(a-b)² = 2(a²+b²)
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