Question

101^2 solve using appropriate identities​

Answer 1

Answer:

10201

Step-by-step explanation:

(101)^2

(100+1)^2

(100)^2+(1)^2+2×100×1

10000+1+200

10201 (Answer)

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Answer 2

Answer:

10201

Step-by-step explanation:

Given : (101)²

We can write this as :

→ (100 + 1)²

{ Identity : (a + b)² = a² + b² + 2ab

Here, a = 100, b = 1 }

→ (100)² + (1)² + 2(100)(1)

→ 10000 + 1 + 200

→ 10201

Other identities which are frequently used are :

• (a - b)² = a² + b² - 2ab

• (a + b)(a - b) = a² - b²

• (a + b)² - (a - b)² = 4ab