Using distributive law, find the square of 72.

Solution:

Given, the number is 72.

We have to find the square of 72 using distributive law.

The distributive property is also known as the distributive law of multiplication over addition and subtraction.

The name itself signifies that the operation includes dividing or distributing something.

The distributive law is applicable to addition and subtraction.

A (B + C) can be solved as A × (B + C) = AB + AC.

A (B - C) can be solved as A × (B - C) = AB - AC.

101 can be written as (70 + 2)

Square of 72 = (70 + 2)²

Using distributive law,

(70 + 2)² = (70 + 2) (70 + 2)

= 70(70 + 2) + 2(70 + 2)

= 70(72) + 2(72)

= 5040 + 144

= 5184

Therefore, 72² = 5184.

✦ Try This: Using distributive law, find the square of 83.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 93 (b)

Using distributive law, find the square of 72

Summary:

Using distributive law, the square of 72 is 5184.

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