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Maths-

General

Easy

Question

Use the square of a binomial to find the value of 51².

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: 2601

51² can be written as (50 + 1)² which can be further written as (50 + 1)(50 + 1)
(50 + 1)(50 + 1) = 50(50 + 1) + 1(50 + 1)
= 50(50) + 50(1) + 1(50) + 1(1)
= 2500 + 50 + 50 + 1
= 2500 + 100 + 1
= 2601
Final Answer:
Hence, the value of 51² is 2601.

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