# Distributive

*Maths.*

**Multiplication is distributive over addition**

The distributive property of multiplication over addition means that brackets within expressions can be 'multiplied out' when the brackets contain additions.

**Example**

3 x (4 + 5) gives the same result as:

(3 x 4) + (3 x 5).

In the first case:

3 x (4 + 5)

= 3 x 9

= **27**

In the second case:

(3 x 4) + (3 x 5)

= 12 + 15

= **27** as before.

**Multiplication is also distributive over subtraction**

The distributive property of multiplication over subtraction means that brackets within expressions can also be 'multiplied out' when the brackets contain subtractions.

**Example**

3 x (6 - 2) gives the same result as:

(3 x 6) - (3 x 2).

In the first case:

3 x (6 - 2)

= 3 x 4

= **12**

In the second case:

(3 x 6) - (3 x 2)

= 18 + 6

= **12** as before.