# Distributive Property Formula

The distributive property is a property used in Algebra where a number, when multiplied with a group of numbers, can be distributed to each number of the group and multiplied. Let’s look at the formula and examples for further explanations.

#### Distributive Property Formula –

$\LARGE a\times (b+c)=a\times b+a\times c$

### Solved Examples

Question 1: Solve 4(5 + 7), using the distributive property.
Solution:

4(5 + 7)
Using distributive property,
= 4
$$\begin{array}{l}\times\end{array}$$
5 + 4
$$\begin{array}{l}\times\end{array}$$
7
= 20 + 28
= 48
Question 2: Solve (-2)(3x + 5)
Solution:
(-2)(3x + 5)
Using distributive property,
(-2)(3x) + (-2)(5)
= -6x – 10