Q1 of 59 Page 265

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

a = 5 units, b = 2 unit


(a + b)2Ξa2 + 2ab + b2


Draw a square with the side a + b i.e.,5 + 2


L.H.S of the whole square = (5 + 2)2 = (7)2 = 49


R.H.S = Area of the square with 5 units + Area of the square with 2 units +


Area of the 5,2 units + Area of the square with 2 ,5 units = 52 + 22 + 5×2 + 2×5 = 49


L.H.S = R.H.S


Hence,the identity is verified.


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