Question

Verify the identity (a – b)² ≡ a² – 2ab + b² geometrically by taking
(i) a = 3 units, b = 1 unit
(ii) a = 5 units, b = 2 units

Answer 1

Hey there!

( i ) ( 3 - 1 )² = ( 3 )² - ( 2 ) ( 3 ) ( 1 ) + ( 1 )²

( 2 )² = 9 - 6 + 1

4 = 3 + 1

4 = 4

( ii ) ( 5 - 2 )² = ( 5 )² - ( 2 ) ( 5 ) ( 2 ) + ( 2 )²

( 3 )² = 25 - 20 + 4

9 = 5 + 4

9 = 9

Hope my answer helps!