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Maths-

General

Easy

Question

Use the square of a binomial to find the value of 99².

hint 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

99² 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 99² is 9801.

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