geometrical verification of algebric identity (a+b)²=a²+2ab+b²

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  1. Draw a square of side a+b.
    Draw lines parallel to the sides of the square at the junction of a and b to make four rectangles of areas a², ab, ba and b².
    Calculate the area of the big square in two ways:
    1. side=(a+b)
    2. sum of four rectangles enumerated above.

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