Maths-

General

Easy

Question

# Use the square of a binomial to find the value of 99^{2}.

Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

## The correct answer is: 9801

### 99^{2} can be written as (100 - 1)^{2} which can be further written as (100 - 1)(100 - 1)

(100 - 1)(100 - 1) = 100(100 - 1) - 1(100 - 1)

= 100(100) + 100(-1) - 1(100) - 1(-1)

= 10000 - 100 - 100 + 1

= 10000 - 200 + 1

= 9801

Final Answer:

Hence, the value of 99^{2} is 9801.

Final Answer:

Hence, the value of 99

^{2}is 9801.

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