Question

Using the identities, evaluate the following:
a) 1022
(b) 311​

Answer 1

Question :-

Using the identities, evaluate the following:

• a) 1022
• b) 311

a) (1000 + 22)²

Identity Used :- (a + b)² = a² + 2ab + b²

Here,

• a = 1000
• b = 22

Subsituting Values

→ (1000)² + 2 × 1000 × 22 + (22)²

→ 1000000 + 44 × 1000 + 484

→ 1000000 + 44000 + 484

→ 1000000 + 44484

→ 144484

Thus, the answer is 144484

b) (300 + 11)²

Identity Used :- (a + b)² = a² + 2ab + b²

Here,

• a = 300
• b = 11

Subsituting Values

→ (300)² + 2 × 300 × 11 + (11)²

→ 90000 + 600 × 11 + 121

→ 90000 + 6600 + 121

→ 96600 + 121

→ 9721

Thus, the answer is 9721