Prove that (a+b)2 +(a-b)2 =2(a2+b2) and (a+b)2 -(a-b)2 =4ab.

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Prove that (a+b)2 +(a-b)2 =2(a2+b2) and (a+b)2 -(a-b)2 =4ab.

Prove that (a+b)2 +(a-b)2 =2(a2+b2) and (a+b)2 -(a-b)2 =4ab.