Q1 of 59 Page 265

Verify the identity (a + b)2 ≡ a2 + 2ab + b2 geometrically by taking

a = 3 units, b = 1 unit


(a + b)2Ξa2 + 2ab + b2


Draw a square with the side a + b i.e.,3 + 1


L.H.S of the whole square = (3 + 1)2 = (4)2 = 16


R.H.S = Area of the square with 3 units + Area of the square with 1 unit +


Area of the 3,1 unit + Area of the square with 1 ,3 units = 32 + 12 + 3×1 + 1×3 = 9 + 1 + 3 + 3 = 16


L.H.S = R.H.S


Hence, the identity is verified.


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