Question

Find the square without multiplication
99

Answer 1

Correct Question:

Find the square of 99 without actual multiplication.

Answer:

The square of 99 is 9801.

Step-by-step explanation:

99 can be written as (100 - 1)

Square of 99 = (99)²

= (99)(99) ----- (I)

We can write I as (100 - 1)(100 - 1)

(100 - 1)(100 - 1) = (a - b)(a - b)

Which means,

(100 - 1)(100 - 1) = (a - b)²

Using the Identity,

(a - b)² = a² - 2ab + b²

= (100)² - 2(100)(1) + (1)²

= 10000 - 200 + 1

= 9800 + 1

= 9801

Therefore, the square of 99 is 9801.