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    tanishq's Avatar
    tanishq Posts: 2, Reputation: 1
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    #1

    Jun 19, 2012, 06:30 AM
    (x+a)^2=x^2+2ax+a^2 verify the equation by figure
    (x+a)^2=x^2+2ax+a^2 verify the equation by figure
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jun 19, 2012, 06:44 AM
    You can prove it graphically. Start by drawing a large square with sides of length 'x+a.' Then see if you can sub-divide it into (a) a square with sides 'x', (b) two rectangles with sides 'x' and 'a', and (c) another square with sides 'a'. Then note that the sum of the areas of these four pieces equals the area of the original large square.
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