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Prove (a+b)2 = a2 +b2 + 2ab It can be done by folding the paper. First fold one corner over and cut off excess to get a square piece of paper. Flatten out again. Fold a corner over most but not all of the way. The length of folded side is a. The rest of the side is b. The folded over area is a2 The unfolded strips along the sides are ab. There are 2 of them = 2ab The unfolded square remaining is b2 Therefore the total square (a+b)2 = a2 + 2ab + b2

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Q: If I give you a piece of paper and say prove a b 2 a2 b2 2ab How will you do that with out any writing device?
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