Question

Using suitable identity evaluate:

997²​

Answer 1

Answer:

9,94,009

Step-by-step explanation:

997²​ = (1000-3)²

using the identity (a-b)² = a²-2ab+b², we write the above as,

(1000-3)² = 1000² - 2(1000)(3) + 3²

             = 10,00,000 - 6,000 + 9

             = 9,94,009

Answer 2

We can write 997^2 as (1,000-3)^2

:. (a-b)^2 = a^2 - 2ab + b^2

(1000-3)^2 = (1000)^2 - 2×1000×3 + (3)^2

=> 10,00,000 - 6,000 + 9

=> 9,94,000 + 9

=> 9,94,009

Hence, we get the required ans

hope this helped you dear...