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Maths-

General

Easy

Question

Use the square of a binomial to find the value of 71².

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: 5041

71² can be written as (70 + 1)² which can be further written as (70 + 1)(70 + 1)
(70 + 1)(70 + 1) = 70(70 + 1) + 1(70 + 1)
= 70(70) + 70(1) + 1(70) + 1(1)
= 4900 + 70 + 70 + 1
= 4900 + 140 + 1
= 5041
Final Answer:
Hence, the value of 71² is 5041.

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