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NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.2

NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.2 are created to help students understand the questions of this exercise. NCERT Class 8 Maths Exercise 14.2 is related to finding the factorisation of algebraic expressions using identities. It is an important exercise as the knowledge of algebraic identities is required for higher classes and advanced problem-solving. Students can download the NCERT exercise solutions for Factorisation Ex 14.2 for free from the askIITians website and start practising right away. 

The factorisation is the fourteenth chapter in the Class 8 Maths NCERT textbook. This chapter is based on understanding how to factorise algebraic expressions. You will learn how to use the methods of common factors, regrouping terms, and algebraic identities to factorise algebraic expressions. It also includes the division of algebraic expressions which is an important topic for higher classes. The askIITians team has provided exercise-wise NCERT Solutions for the Class 8 Maths Factorisation Chapter. Let us see how the solutions of exercise 14.2 will benefit the students.

About NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.2

Before you start solving the second exercise of NCERT Class 8 Maths Factorisation chapter, you must take note of the following points: 

 

Factorisation of algebraic expressions:

  • As we factorise an algebraic expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions.
  • 2x(y+10) is an algebraic expression in the factored form. The two factors of this expression are 2x and (y+10). 
  • The algebraic expression 9x2 + 4y2 + 72xy is not in the factored form. 

 

Algebraic identities required for factorisation of algebraic expressions:

  • (a + b)2 = a2 + 2ab + b2
  • (a - b)2 = a2 - 2ab + b2
  • (a + b) (a – b) = a2 – b2

 

In case, the algebraic expression does not involve perfect squares, you can write them as: 

  • (x + a) (x + b) = x2 + (a + b) x + ab

Download Free NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.2

NCERT Solutions for Class 8 Maths Factorisation Ex 14.2 are important for students in a plethora of ways:

  • Doubt Solving: NCERT solutions make it easier for you to practice the exercises. In case you have any doubts, you can resolve them by checking the exercise solutions. 
  • Exam Preparation: These NCERT solutions for the Factorisation chapter are created by askIITians experts based on the latest CBSE exam pattern and guidelines. So, you can use them to understand how to approach questions in the exam and score full marks. 
  • Self-Study: The NCERT solutions promote self-learning among students as you can practice at your own pace and convenience. No need to rush and complete the chapters without full understanding. 
  • Stepwise Answers: The solutions are self-explanatory. Our experts have provided clear, step by step explanations for every question so that you can understand how to use algebraic identities to factorise algebraic expressions. 

 

Let us now break down the questions given in exercise 14.2 of NCERT Class 8 Maths Factorisation: 

Ex 14.2 Q1: This question has 8 sub-parts. You have to apply the identities (a + b)2 = a2 + 2ab + b2 and (a - b)2 = a2 - 2ab + b2 in this question to factorise the given algebraic expression. You can easily determine which identity to apply if you remember the identities correctly. 

Ex 14.2 Q2: This question also includes 8 sub-parts, where you have to apply the identity (a + b) (a – b) = a2 – b2 to factorise the given algebraic expressions along with the identities used in the above question. This question is a little complex and our NCERT solutions will be of great assistance to you. 

Ex 14.2 Q3: You have to use the identity (x + a) (x + b) = x2 + (a + b) x + ab to solve this question. askIITians experts have clearly stated how to use this identity to factorise algebraic expressions in the NCERT Solutions for Class 8 Maths. 

Ex 14.2 Q4 and Q5: You have to understand how to simplify algebraic expressions in these questions so that you can factorise them easily. Both of these questions involve problem-solving skills. If you have practised the above three questions of the exercise then only you will be able to approach these questions correctly.  

NCERT Class 8 Maths Chapter 14 Factorisation Ex 14.2 Solutions FAQs

  1. What is factorisation in algebra? 

Factorisation in algebra is the process of finding the factors of an algebraic expression. This means writing the algebraic expression in product form.

  1. How many exercises are there in the Class 8 NCERT Maths Factorisation Chapter? 

There are 4 exercises in the Class 8 Maths factorisation chapter and 33 questions in total. Most important exercises are the ones based on factorisation of algebraic expressions and division of algebraic expressions. 

  1. Are there any additional study resources for NCERT Class 8 Maths Factorisation Chapter?

Yes, the askIITians team has prepared revision notes, sample papers, flashcards, mind maps, practice worksheets, and a list of important questions for NCERT Class 8 Maths Chapter 14 Factorisation. You can download them from our website. 


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