RD Sharma Class 8 Chapter 7 Solutions (Factorization)

RD Sharma for Class 8 Chapter 7 ‘Factorization’ contain stepwise answers to all the exercise questions of the chapter. In this chapter, you will learn the definition of factors, factorization of algebraic expressions, common factors occurring in terms, factorization by grouping terms, and factorization by division. This chapter of RD Sharma Class 8 Maths Solutions, also helps you practice the concept of coefficients, greatest common factor, monomials, binomials and quadratic polynomials.

RD Sharma Class 8 Chapter 7 ‘Factorization’ has 9 exercises and 188 questions. The solutions to all the exercises are provided to ensure that you have a thorough understanding of the chapter. There are observational, analytical, and conceptual and logic-based questions in the chapter. Some questions are based on the method of completing squares for factorising a polynomial and difference of two squares for factorizing a binomial. All these questions are important for CBSE exam point of view. 

We offer you high-quality solutions to all the exercises of RD Sharma Class 8 Maths Chapter 7. These solutions will help you in your course of learning the concepts of the chapter and also in your regular classwork. All the solutions are in sync with the latest CBSE Class 8 Maths syllabus and exam guidelines. 

 Important Topics of RD Sharma Class 8 Solutions for Chapter 7 – Factorization


As the name of the chapter suggests you will begin by having an introduction to the concept of factorization. An algebraic expression is said to be factorized when we write the products of that expression. 

Common Factor Method 

In this chapter, you will learn about a method of factorization called the common factor method. This is the most basic technique of factorizing an expression. Here you basically find the value that is common to all the terms of the expression i.e. the factors can be reduced by that term. Then the remaining terms are combined using the distributive law and the factors are obtained. 

Factorization by Algebraic Formulas 

You would have learnt about basic algebraic formulas like (a-b)2 and a2b2. Basically, you need to detect whether or not the given algebraic expression falls in the frame of these equations. In case if they are provided in the same form, you need to apply this formula and solve them further. 

Along with these methods, you will also learn about other methods of factorization like the regrouping method, the method of finding coefficients and splitting of the middle term. 

Exercise wise discussion of RD Sharma Solutions for Class 8 Chapter 7 – Factorization

Exercise 7.1

There are a total of 15 questions in the exercise based on the basic concepts of coefficients and greatest common factors of polynomials. This exercise will brush up all your fundamentals for the chapter. 

Exercise 7.2 and Exercise 7.3 

There are a total of 17 questions in Exercise 7.2 and 15 questions in Exercise 7.3 of RD Sharma Class 8 Maths Chapter 7. They are based on the factorization of various algebraic expressions. The only difference between the exercises is the difficulty level which increases due to the complexity of the expressions in the exercises. 

Exercise 7.4

This exercise has 24 questions where you are required to solve the given expressions by making use of the grouping method of factorization. 

Exercise 7.5

This is a long exercise and has a total of 46 questions. Here you need to use the algebraic formula of (a2b2)=(a+b) (a-b). You need to use this very formula to solve the entire exercise.

Exercise 7.6

This exercise has a total of 27 questions where you are provided with expressions and you need to factorize them using the formula ‘(a-b)2=a2+b2 – 2ab’.

Exercise 7.7

This exercise has a total of 13 questions. In this exercise, you need to factorize all the given algebraic equations by using the replacement method. 

Exercise 7.8

In this exercise, you will find 19 questions in total where you will have to split the middle terms of the given algebraic equations in order to factorize them.

Exercise 7.9

The exercise has 10 questions in total. Here you need to find the coefficient of the first value of the term and then add and subtract the square of half of that coefficient. This exercise is a bit tricky but with some practice, you can easily solve these questions. 

Benefits of Instasolv’s Solutions for RD Sharma Class 8 Chapter 7 – Factorization

  • In our RD Sharma Solutions for Class 8 Chapter 7 ‘Factorization’, we have ensured that the answers are presented in a stepwise manner so that you learn the fundamental and logic applied behind every question. 
  • We have ensured that the solutions are presented in an easy and student-friendly manner. 
  • Our team of experts has ensured that no exercise is left and all the problems are carefully tackled. 
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