Question

Verify the identity (a + b) (a – b) ≡ a² – b² geometrically by taking
(i) a = 3 units, b = 2 units
(ii) a = 2 units, b = 1 unit

Answer 1

( i ) ( 3 + 2 ) ( 3 - 2 ) = ( 3 )² - ( 2 )²

5 = 9 - 4

5 = 5

( ii ) ( 2 + 1 ) ( 2 - 1 ) = ( 2 )² - ( 1 )²

( 3 ) ( 1 ) = 4 - 1

3 = 4 - 1

3 = 3

Hope my answer helps!

Answer 2

1) a = 3 units, b = 2 units

(a + b) (a – b) ≡ a² – b²

Substitute the values

(3+2) (3-2) = 3² – 2²

5 x 1 = 9 - 4

5 = 5

_______________________________

2) a = 2 units, b = 1 unit

(a + b) (a – b) ≡ a² – b²

Substitute the values

(2+1) (2-1) = 2² – 1²

3 x 1 = 4 - 1

3 = 3