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We will use paper cutting to prove the algebraic formula, (a+b)x (a+b) = a square + b square + 2ab
We will first take a square and divide its side in 2 parts of length a and b.
So the area of this large square is (a+b)x(a+b).
We will just cut 2 square of size a and b from this large square of size (a+b) as shown.
This will leave two rectangles whose sides are a and b.
Thus we can easily show that large square
(a+b)(a+b) = sum of two squares and 2 rectangles of sides a and b = a square + b square + 2ab This work was supported by IUCAA and Tata Trust.
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