Question

The value of (49)${}^2$ is:

• A. 2401
• B. 2561
• C. 2201
• D. 2341

Answer 1

The correct option is A 2401

(49)${}^2$ can be written as (50 - 1)${}^2$.
Using the identity, $(a-b{)}^2=(a{)}^2-2ab+(b{)}^2$,
(50 - 1)${}^2$ = (50)${}^2$-2(1)(50)+(1)${}^2$ = 2401.