What are the different methods of factorisation & how to use them?

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Definition of Factorisation:

Factorization, also known as factoring, is the process of expressing a number or any mathematical object as a product of numerous factors, which are often smaller or simpler objects of the same sort.


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  • What is Factorisation?
  • What is a Factor?
  • Methods of Factorisation

           (a) Method of Common Factors
           (b) Method of Regrouping
           (c) Method of Identities
           (d) Method of using Algebraic Expression of Forms

  • Types of Factorising


Factorisation Frequently Asked Questions:

Question 1: How to do factorisation in algebra?


To factorize an algebraic expression, we first identify the greatest common factors of the terms in the expression, and then we arrange the terms accordingly.

In basic words, factorization is the process of reversing the expansion of an algebraic equation.


Question 2: How to do factorisation?

The following are the most frequent methods for factorising algebraic expressions:

  1. Factorization by using common factors
  2. Factorization by regrouping terms
  3. Identity-based factorization


Question 3: What is the prime factorisation method?

A prime number is one that only contains two factors: one and the number itself.A method for determining the prime factors of a given number, such as a composite number, is known as prime factorisation.


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