Question

Using suitable algebraic idently , solve 1092​

Answer 1

1092 = 1000 + 92

So, 1092² = (1000 + 92)²

(1000 + 92)²= ( 1000 )² + 2 × 1000 × 92 + ( 92 )²

= 1000000 + 184000 + 8464

Thus, 1092² = 1192464.

Answer 2

Hi there!

Algebraic identity used :

(a + b)² = a² + 2ab + b²

Solution :

( 1092 )² can be written as ( 1000 + 92 )²

⇒ ( 1000 + 92 )²

⇒ ( 1000 )² + 2 × 1000 × 92 + ( 92 )²

⇒ 1000000 + 184000 + 8464

⇒ 1, 192, 464

Hence, the answer is 1, 192, 464.

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