Question

Pls answer the question with formula and method (all parts)

Answer 1

Answer :-

a) (101)²

Formula used :-

(a + b)² = a² + b² + 2ab

Now

⇒ (100 + 1)²

⇒ (100)² + (1)² + 2 × 100 × 1

⇒ 10000 + 1 + 200

⇒ 10000 + 200 + 1

⇒ 10201

b) (99)²

Formula used :-

(a - b)² = a² + b² - 2ab

Now

⇒(100 - 1)²

⇒(100)² + (1)² - 2 × 100 × 1

⇒10000 + 1 - 200

⇒ 10000 - 200 + 1

⇒ 9801

c) (198)²

Formula used :-

(a - b)² = a² + b² - 2ab

Now

⇒ (200 - 2)²

⇒ (200)² + (2)² - 2 × 200 × 2

⇒ 40000 + 4 - 400

⇒ 39604