## RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions Exercise 5.4 - Free PDF

## FAQs on RD Sharma Class 9 Solutions Chapter 5 - Factorization of Algebraic Expressions (Ex 5.4) Exercise 5.4

1. How many methods are there to factorize a given algebraic expression?

There are three methods for the factorization of a given algebraic expression.

Factorization of algebraic expression using common factor method

Factorization of algebraic expression using regrouping of terms method

Factorization of algebraic expression using identities

2. How to factorize an algebraic expression using the common factor method?

To factorize a given algebraic expression, solve for the highest common factors of the terms included in the algebraic expression and then group the terms accordingly. In other words, Factorization can be called the reverse process of expansion of an algebraic expression. We find the greatest or the highest common factor, keep the factor outside the brackets, divide the polynomial terms by this factor and write the remaining expression inside of the brackets. It is a very simple and effective method to factorize a given algebraic expression.

3. How to factorize an algebraic expression using the regrouping of terms method?

There can be some algebraic expressions in which not every term may have a particular factor in common. Then, we regroup the terms which do have common factors. After doing this, we can take out the common factors and the factorization of the algebraic expression is done. This is the way we can use the Regrouping of terms method to factorize a given algebraic expression. Thus, by the method of regrouping the terms in a given algebraic expression, we can factorize that algebraic expression.

4. How to factorize an algebraic expression using the identities?

An identity in mathematics is an equality relation that holds for all the values of variables. In this method, we use formulae of algebraic expressions for the factorization process. This method can be used when there are no common factors and if the algebraic expression is in the form of a standard identity. In such a case, we can seek the help of the algebraic identities to factorize the expression more easily.

5. What does the RD Sharma solutions for class 9 chapter 5 free PDF include and what are the benefits of studying it?

The RD Sharma solutions for class 9 chapter 5 PDF includes the solved examples of the topic factorization of algebraic expressions which is important for students of class 9. The benefits of studying it are that it covers the examples of all the methods of factorization mentioned above and it gives good practice for class 9 students who are preparing for their exams. It will help gain a good grasp of the topic and help students score better in their exams.