Math Doubts

Distributive property

The property of distributing the multiplication across the addition or subtraction of the terms is called the distributive property.


$a$, $b$ and $c$ are three literals but represent three terms in algebraic form. The sum and difference of the terms $b$ and $c$ are written as $b+c$ and $b-c$ respectively. The distributive property can be written in terms $a$, $b$ and $c$ in two different forms.

Addition form

$a(b+c) \,=\, ab+ac$

Learn how to distribute the multiplication over addition.

Subtraction form

$a(b-c) \,=\, ab-ac$

Learn how to distribute the multiplication over subtraction.


The distributive property is mainly used in two different cases.

  1. To distribute the multiplication across the sum or difference of the terms.
  2. To take the common factor out from the sum or difference of the terms.
Math Doubts

A best free mathematics education website that helps students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved