Question

using identities evaluate 102^2

Answer 1

♠ ANSWER :

( 100 +2 )²

By using identity,

➡️( a + b ) ² = a ² + b ² + 2ab

Here, a = 100, b = 2.

( 100 +2 )² = 100² + 2² +2 *100 *2

= 10000 + 4 + 400

= 10404.

Answer 2

Given,

Square of 102.

To find,

Value of square of 102.

Solution,

Using the identity,

$(a + b )^{2} = a^{2} +b^{2} +2ab$

So, we can rewrite the number 102 as 100+2,

It means the value of a = 100, b = 2.

⇒ $(100+2)^{2} = 100^{2} + 2^{2} + 2(100)(2)$,

⇒ $(102)^{2} = 100^{2} + 2^{2} + 2(100)(2)$,

⇒ $(100+2)^{2} = 10000 + 4 + 400$,

⇒ $(100+2)^{2} = 10404$.

Therefore, the value of $(102)^{2}$ = 10404,