A method of separating a common factor from the terms of an expression is called the factorization (or factorisation) by taking out the common factors.

A mathematical expression can be formed by connecting two or many expressions with either plus or minus or combination of both. In some cases, a factor is commonly appeared in some terms or all terms of the polynomial. The common factor has to separate from the terms for writing the expression in simple form and this procedure is called the factorization by taking out the common factors.

You must have knowledge on the following two concepts to understand how to factorise (or factorize) an expression by taking out the common factor.

Let’s learn the concept of factoring a polynomial by taking out the common factors.

$5x^2+xy-6x$

For our convenience, write each term of this expression in factor form.

$=\,\,\,$ $5x \times x+x \times y-6 \times x$

Observe each term of this expression, there is a factor commonly appeared in each term. It can be taken out common from the terms by using the inverse operation of the distributive property of multiplication over addition or subtraction or combination of both.

$=\,\,\,$ $x \times (5x+y-6)$

$=\,\,\,$ $x(5x+y-6)$

List of the questions with solutions to learn how to factorize (or factorize) the expressions by taking out the common factors.

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

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

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

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved