# What is the distributive property?

The distributive property is a property of multiplication used in addition and subtraction

## Answer: Distributive property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

Let's look into some examples to understand distributive property

**Explanation: **

Distributive property states that multiplying the sum or of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding or the products together.

It also applies for difference of numbers being multiplied to a number

It is given as:

- a × (b + c) = a × b + a × c
- a × (b - c) = a × b - a × c

Example 1 : 3 × ( 2 + 5 ) = 3 × 2 + 3 × 5

LHS = 3 × ( 2 + 5 )

=> 3 × 7 = 21

RHS = 3 × 2 + 3 × 5

=> 6 + 15 = 21

Thus, LHS = RHS

Example 2 : 5 × ( 4 - 1) = 5 × 4 - 5 × 1

LHS = 5 × ( 4 - 1)

=> 5 × 3 = 15

RHS = 5 × 4 - 5 × 1

=> 20 - 5 = 15

Hence, LHS = RHS