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Maths-

General

Easy

Question

Use the square of a binomial to find the value. 72²

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: 5184.

72² can be written as (70 + 2)² which can be further written as (70 + 2)(70 + 2)
(70 + 2)(70 + 2) = 70(70 + 2) + 2(70 + 2)
= 70(70) + 70(2) + 2(70) + 2(2)
= 4900 + 140 + 140 + 4
= 4900 + 280 + 4
= 5184
Final Answer:
Hence, the value of 72² is 5184.

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