Square of the Sum of Two Numbers

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For any two numbers and the square of their sum is equal to . You can see a geometrical proof of this identity from the figure. The gray numbers represent the side lengths or areas of the entire figure and the black ones represent the side lengths or areas of the colored regions. Each set of numbers on the side or in the middle sums to the gray number.

Contributed by: Joe Bolte (Wolfram Research) (March 2011)
Open content licensed under CC BY-NC-SA




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