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Mathematics

Simplify the following:

(a+b)2 + (a-b)2

Expansions

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Answer

(a+b)2 + (a-b)2 = [(a)2 + 2(a)(b) + (b)2] + [(a)2 - 2(a)(b) + (b)2]

= a2 + b2 + a2 + b2 + 2ab - 2ab

= 2a2 + 2b2

= 2(a2 + b2)

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