Evaluate using th

Given identity (a + b)² = a² + 2ab + b²

(i) (34)²

= (30+4)²

Here a = 30 and b = 4

= 30² +2× 30× 4 + 4²

= 900 + 240 +16

= 1156

(ii)(10.2)²

= (10 +0.2)²

Using the given identity

Here a = 10, b = 0.2

= 10² + 2× 10 × 0.2 +(0.2)²

= 100 + 4 + 0.04

= 104.04

(iii) (53)²

= (50+3)²

Using the given identity

Here a = 50, b = 3

= (50)² +2× 50 × 3 + 3²

= 2500 + 300 +9

= 2809

(iv) (41)²

= (40+1) ²

Using the given identity

Here a = 40, b = 1

= 40² +2 × 40 × 1 + 1²

= 1600 + 80 +1

= 1681