NCERT Solutions for Factorisation Exercise 14.2 Class 8 Maths

NCERT Solutions for Exercise 14.2 Class 8 Maths: CBSE Maths is one of the subjects considered complex by many students. The lengthy problems and the rigid solution techniques can make some students feel intimidated. However, learning Maths is essential as it is the base for several other subjects that the students learn in future. Chapter 14 of the class 8 CBSE Maths covers the concepts of Factorisation. 

Factorisation is an important topic as it gives a detailed insight into equations. Hence, practicing the exercises from this chapter is essential. We’ve given a pdf download option to the ex 14.2 class 8 Maths in this post. The students can also access the pdf online or download them for future reference. Read on. 

Class 8 Maths Chapter 14 Exercise 14.2 Solutions : A Brief Overview

Maths ex 14.2 class 8 deals with the topic What is Factorisation? The NCERT solutions given here are answers to the intext questions based on this chapter. All these solutions are curated based on the latest NCERT CBSE guidelines by academic experts who are highly experienced in teaching. Furthermore, students get access to these solutions and can save the PDFs of each exercise for future reference. Now, before moving to the details of the pdf, let’s take a look at the crucial information about class 8 Maths chapter 14 exercise 14.2 solutions.

NCERT Class 8 Solutions for Chapter 14 Exercise 14.2: Pdf Download

Students who consider Maths as a complex subject need more practice. The more they practice, the more their chances of getting high scores. The most effective approach is to solve the exercises provided in textbooks, especially for a subject like Mathematics. This allows students to gain a complete understanding of all of the Math concepts presented in the CBSE NCERT books. For class 8 students, solving class 8 Maths ex 14.2 is important. By practicing questions focusing on Factorisation, finding factors of numbers and concepts, etc., students will learn the skills needed for advanced algebra courses. Besides, by understanding the fundamental concepts mentioned in these NCERT solutions for chapter 14.3 Class 8 Maths, students can also reduce their time for solving an answer. Below, we have a link to download the pdf of exercises and solutions from this chapter. 

Q.1. If the factors of the expression a2+8a+16 are of the form p+qr then, find the value of p+q+r.
Ans: a+6
Solution: The given expression is a2+8a+16.
a2+8a+16=a2+8a+42=a2+2×4×a+42
We can see that, the above expression is in the form of the algebraic identity (x+y)2=x2+2xy+y2. Here, x=a and y=4.
a2+2×4×a+42=a+42 Compare a+42 with p+qr. So, p=a, r=2 and q=4. ∴ p+q+r=a+4+2=a+6 Hence, the required answer is a+6.
Q.2. If the factors of the expression p2-10p+25 are of the form p-kl then, find the value of k+l.
Ans: 7
Solution: Given expression is,
p2-10p+25.
We can see that, the expression is in the form of the identity:
a2-2ab+b2=(a-b)2.
Here, a=p, b=5.
Then,
p2-10p+25=p2-2×p×5+52
=p-52
Hence, we observe that the factors of the given expression are of the form, p-kl.
So, k=5 and l=2
∴ k+l=5+2=7.
Q.3. If the factors of the expression 25m2+30m+9 are of the form p+qr then, find the value of q+r.
Ans: 5
Solution: The given expression is 25m2+30m+9.
25m2+30m+9=5m2+30m+32=5m2+2×5m×3+32
We can see that the above expression is in the form of the algebraic identity (a+b)2=a2+2ab+b2. Here, a=5m and b=3.
5m2+2×5m×3+32=5m+32 Compare (5m+3)2 with p+qr. So, p=5m, r=2 and q=3. ∴q+r=3+2=5
Q.4. If the factors of the expression 49y2+84yz+36z2 are of the form p+qr then, find the value of p+r.
Ans: 7y+2
Solution: The given expression is 49y2+84yz+36z2.
49y2+84yz+36z2=7y2+84yz+6z2=7y2+2×7y×6z+6z2
We can see that the above expression is in the form of the identity (a+b)2=a2+2ab+b2. Here, a=7y and b=6z.
7y2+2×7y×6z+6z2=7y+6z2 Compare 7y+6z2 with p+qr. So, p=7y, r=2 and q=6z. ∴ p+r=7y+2

Click here to get a pdf of Maths class 8 chapter 14 exercise 14.2.

Factorisation: Chapter Overview

All subjects and subtopics involving Factorisation and its applicability are covered in Chapter 14 of the NCERT textbook. Factorisation of algebraic expressions is crucial to understanding the advanced concepts in Maths. In Mathematics, Factorisation is defined as ‘the process of breaking a number down into smaller numbers that, when multiplied together, gives you the original number’. In order to prepare properly for exams, students must understand this concept by extensively practicing NCERT Class 8 Maths chapter 14 solutions. All the exercises in this chapter assist students in gaining confidence in doing Maths operations, as they are from NCERT only. 

Different topics related to Factorisation are covered in this chapter. Class 8 Maths 14.2 covers the topic ‘What is Factorisation’. Just like that, let us see what each exercise covers. 

Advantages of Solving Class 8 Maths 14.2 Exercises

Learning the formulas that is given throughout the book is a nightmare for students since they must remember them all and apply to find solutions all at once. However, they can improve their memory by completing the exercises. Attempting the exercises are necessary in order to enhance the mathematical problem-solving abilities. Besides, there are various advantages of solving the ex 14.2 class 8. Given below are some most important benefits of using NCERT Solutions for class 8 Maths chapter 14 exercise 14.2:

• Curated by academic experts – All the Embibe’s class 8 Maths ex 14.2 solutions are prepared by highly experienced academic experts. As a result, the credibility of these solutions is unquestionable. In addition, students can get NCERT solutions for almost all chapters in Maths and other topics for!
• Simplifies the complex topics – The NCERT solutions from Embibe are designed to make even the most difficult subjects understandable to all students, regardless of their learning abilities. They will be able to grasp the concepts as well as their application level without much difficulty once practice with the NCERT solutions for Maths class 8 chapter 14 exercise 14.2.
• Helps identify the weaker areas – The majority of students practice the exercises with the solutions after class independently. When students practice the NCERT solutions for Exercise 14.2 Class 8 Maths, they will get a chance to evaluate themselves. This will help them assess their strong and weak subject areas and improve them.
• Genuine source – Because it follows the NCERT curriculum, the NCERT exercise 14.2 class 8 Maths solutions are a reliable source. Most of the questions on the CBSE main exams are based on NCERT materials. Hence running behind the extra study materials is a waste of time. Embibe’s study materials and exercise answers adhere to the new NCERT curriculum and are updated on a regular basis in accordance with NCERT updates.
• source – All CBSE class 8 Maths solutions are available for here on Embibe. Students can save any chapter’s answers for later use by downloading them. Solving these difficulties may boost students’ confidence and logical skills, thus improving their chances of a brighter future.
• Improves time management skills –  As previously said, the class 8 Maths ex 14.2 solutions follow the NCERT CBSE curriculum, implying that the solutions are fully accurate. As a result, students can practice these solutions and develop time management skills for the actual exam. Because all of the solutions are presented clearly, learning will be really easy and students may not feel bored.

FAQs

The following are some of the most frequently asked questions about NCERT exercise 14.2 Class 8 Maths solutions:

Q.1: What are the main topics that are covered in the chapter  factorisation?

Ans: Factorisation covers topics such as factorisation methods, factors of natural numbers, factors of algebraic expressions, and division of algebraic expressions.

Q.2: From where can I download NCERT exercise 14.2 Class 8 Maths solutions pdf for? 

Ans: Students can download the solutions by clicking on the link given in the article and save them for offline reference.

Q.3:  What are some tips and tricks for answering the questions from class 8 chapter 14?

Ans: Students can achieve great marks by answering the questions from this section if they grasp the topics and practice them until they are confident. Once they learn the concepts then they can refer to the solutions to attempt the exercises. Practice is the only way to achieve great results.

Q.4: How will NCERT Solutions for class 8 help students prepare for the exams?

Ans: The NCERT Solutions for Class 8 explains the concepts and exercise from the chapter in a simple, step-by-step way. It helps the student understand even the complex concepts easily and thus, boosts their confidence. 

Q.5: Are NCERT textbooks sufficient  for exam preparation?

Ans: Yes. Once you learn the concepts well, practicing the exercises from the NCERT textbooks are more than sufficient for the exam preparation.

We’ve given the pdf solutions for Exercise 14.2 Class 8 Maths here. Besides this, Embibe offers study materials and solutions for CBSE class 8 Maths chapters. Furthermore, if students have any questions, they can go through the  CBSE class 8 Maths syllabus. Students can achieve their intended goals by learning the concepts and evaluating  whether they have learned the syllabus through practice questions given on Embibe’s website.

We hope this article on NCERT Solutions for Factorisation Exercise 14.2 Class 8 Maths helps you prepare well for the exam. If you have any questions, do post it here in the comments. We will get back to you at the earliest.

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