Question

evaluate using suitable identity 103^2

Answer 1

(103)²

= (100+3)²

use

:- [ (a+b)² = a²+a+2ab. ]

=> = (100)² + 3² + 2.100.3

=> = 10000 + 9 + 600

=> = 10609

Answer 2

The value of (103)² is 10609

Given : The mathematical term is (103)²

To find : The value of the given mathematical term.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given mathematical term with the help of suitable identity)

Here, we cannot just manually evaluate the given mathematical term, we have to use suitable identities.

So,

= (103)²

= (100 + 3)²

= (100)² + (2 × 100 × 3) + (3)²

= (10000) + (600) + (9)

= 10609

(This will be considered as the final result.)

Used formula :

• (a+b)² = a² + 2ab + b²

Hence, the value of (103)² is 10609