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 –

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

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

Distributive Property Formula –

Solved Examples

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