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

a = 2 units, b = 4 units

(a + b)²Ξa² + 2ab + b²

Draw a square with the side a + b i.e.,2 + 4

L.H.S of the whole square = (2 + 4)² = (6)² = 36

R.H.S = Area of the square with 2 units + Area of the square with 4 units +

Area of the 2,4 units + Area of the square with 4 ,2 units = 2² + 4² + 2×4 + 2×4 = 4 + 16 + 8 + 8 = 36

L.H.S = R.H.S

Hence,the identity is verified.