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# NCERT Solutions for Factorisation Exercise 14.1 Class 8 Maths

NCERT Exercise 14.1 Class 8 Maths Solutions: NCERT solutions for Class 8 Maths chapter 14 exercise 14.1 – Factorisation provides answers to all of the chapter’s questions and explains them in simple language. Students will be able to obtain a firm grasp of the important concepts and comprehend the shortcut strategies by practising all NCERT solutions for Class 8.

Practising NCERT exercise 14.1 Class 8 Maths solutions helps students gain confidence, essential for passing the exam. Class 8 Maths ex 14.1 NCERT solutions familiarise students with factorisation and algebraic equations. Factors of natural numbers and factorisation by regrouping terms are all covered in NCERT exercise 14.1 Class 8 Maths Solutions. Students will be able to solve any question based on these concepts at their own pace by the end of this exercise.

## NCERT Solutions for Factorisation Exercise 14.1 Class 8 Maths

Students appearing in the final exam must practise NCERT exercise 14.1 Class 8 Maths solutions to understand the basic topics explained in the chapter. The factorisation is an essential chapter for Class 8 students, and they must have in-depth knowledge of the important concepts to achieve excellent marks. Before we jump into further details, let us have an overview of Class 8 Maths ex 14.1 NCERT solutions:

### NCERT Exercise 14.1 Class 8 Maths Solutions: PDF

Class 8 Maths exercise 14.1 solution from the NCERT textbook will help students gain a basic understanding of factorisation and its related topics. Students will gain the abilities necessary for advanced algebra courses by practising questions focusing on identifying factors of numbers and terms. Students can quickly simplify difficult statements by reading and studying the important concepts explained in these NCERT solutions for ex 14.1 Class 8 Maths.

It is a good way to revise the entire syllabus before the exam. Class 8 Maths 14.1 Chapter 14 NCERT solutions also make it easier for students to understand all of the ways to solve a given question. The NCERT exercise 14.1 Class 8 Maths solutions are available for on Embibe. Students can easily access and download them to study offline for their final exams. Refer to the link below to download the NCERT solutions for Maths Class 8 chapter 14 exercise 14.1 to score well and achieve good grades:

Q.1. Find and correct the errors in the mathematical statement: 4(x-5)=4x-5

Solution: Given equation is,
4(x-5)=4x-5
Solving the Left-hand Side of the equation, 4(x-5)=(4×x)-(4×5)=4x-20
So, we can see that the error is in the second term of the Right-hand Side of the equation.
Therefore, the correct statement is
4(x-5)=4x-20

Q.2. Find and correct the errors in the mathematical statement:
Substituting x=-3 in x2+5x+4 gives (-3)2+5(-3)+4=9+2+4=15

Solution: Given expression is,
x2+5x+4
Substituting x=-3 in the expression, we get, (-3)2+5(-3)+4=9-(5×3)+4=9-15+4=(9+4)-15=13-15=-2
So, we can see that the error lies in the statement, where,
5(-3)=2 [Given], whereas
5(-3)=-15 [correct] Therefore, the correct statement will be (-3)2+5(-3)+4=9-15+4=-2

Q.3. Find and correct the errors in the following mathematical statement:
Substituting x=-3 in x2-5x+4 gives (-3)2-5(-3)+4=9-15+4=-2

Solution: Given expression is,
x2-5x+4
Substituting x=-3 in the expression, we get, x2-5x+4=(-3)2-5(-3)+4=9+15+4=28
So, we can see that the error lies in the statement, where,

• 5(-3)=- 15 [Given], whereas
• 5(-3)=+15 [correct] Therefore, the correct statement will be (-3)2- 5(-3)+4=9+15+4=28

### About NCERT Exercise 14.1 Class 8 Maths Solutions

Class 8 Chapter 14 Maths exercise 14.1 NCERT solutions are related to finding factors. The in-text exercise questions help you grasp the knowledge of factoring expressions step-by-step. Three short answer-type questions with subparts to determine common factors of numbers and phrases are included in exercise 14.1 Class 8 Maths. The use of basic arithmetic skills and simplifying terms are required to practise these sums to achieve desired results. The first step in solving complex algebraic statements is to understand how to simplify terms. NCERT exercise 14.1 Class 8 Maths Solutions is a comprehensive guide that teaches this ability with relevant examples.

After learning about the factors of natural numbers and algebraic expressions in this chapter, students will study that the division of algebraic expressions is broken down into two sections: division of a monomial by another monomial and division of a polynomial by a monomial. Class 8 students should be able to explain factorisation and its important concepts by the end of the chapter as they will be thorough with all the important topics. To learn more, keep scrolling down to understand what Maths Class 8 Chapter 14 exercise 14.1 NCERT solutions are all about.

### NCERT Exercise 14.1 Class 8 Maths Solutions: Chapter Summary

Chapter 14 from the NCERT textbook includes all topics and subtopics concerning factorisation and its applicability. Algebraic expression factorisation is an important aspect of advanced Math courses. Factorisation of expressions is a difficult operation requiring a thorough understanding of factors and the methods for listing them. Students can quickly acquire this knowledge by thoroughly practising NCERT Class 8 Maths chapter 14 solutions in order to prepare effectively for exams. These solutions also help students gain confidence in preparation for a variety of competitive exams. These NCERT solutions are a very well-organised resource from the CBSE board and are capable of laying a solid arithmetic foundation amongst the students.

Students can easily explore interesting ways to understand this topic by thoroughly practising all of the questions accessible in these solutions. The variety of questions in these Class 8 Maths NCERT solutions chapter 14 will help students improve their problem-solving abilities to score higher marks in the exam. Solutions provided by Math Chapter 14 for Class 8 factorisation follow the NCERT textbook to ensure that the entire syllabus is covered. Students will learn and explore this topic more easily because of the solutions’ simple structure. Each idea is strategically learned through the use of well-versed exercises and practice questions.

### Benefits of Practising NCERT Exercise 14.1 Class 8 Maths Solutions

If you ask any outstanding student what their secret to success is, they will undoubtedly respond that they thoroughly studied the NCERT books. Once the candidates have completed the theory portion of the topic, it is important that they tackle the NCERT problems meticulously. Below we have provided some of the benefits of practising NCERT exercise 14.1 Class 8 Maths solutions to help students understand the importance of this chapter:

1. NCERT Class 8 Maths exercise 14.1 solution follows the CBSE guidelines to help students score well in the exams.
2. The NCERT solutions offer in-depth knowledge of the basic concepts covered in the chapter to help students solve any question quickly.
3. NCERT textbooks explain solutions in step-by-step manner to help Class 8 students understand the logic behind every question.
4. NCERT solutions offer knowledge in simple language so that any student can easily understand them and tackle their fear.
5. NCERT exercise 14.1 Class 8 Maths solutions are prepared by subject experts after thorough research to help students with their exam preparations.
6. Students practising from the NCERT textbooks get to know the areas they are weak in as they to self-evaluate their work. This makes room for improvement before the exams.
7. Students learn some complex problem-solving skills while practising from the NCERT textbooks. This helps them achieve higher grades in the exams.
8. Students learn to tackle their fear and the basic approach to solving any question given in the in-text exercises.
9. Students learn time management skills ahead of the exams as practising helps them in solving any question in a time-bound manner.
10. NCERT solutions help students understand the type of questions asked during the exam. This helps them securing good grades in the final exams.

### FAQs on NCERT Exercise 14.1 Class 8 Maths Solutions

Some of the frequently asked questions on NCERT exercise 14.1 Class 8 Maths solutions are mentioned below:

Q.1: How many questions are there in each exercise of chapter 14 NCERT textbook?
Ans: There are a total of 33 questions in the exercises of chapter 14 from the NCERT textbook. Exercise 14.1 consists of three questions, exercise 14.2 consists of five questions, exercise 14.3 also consists of five questions, while exercise 14.4 has 20 questions in total.

Q.2: What are the important topics covered in factorisation?
Ans: Factors of natural numbers, factors of algebraic expressions, factorisation methods, and division of algebraic expressions are all covered in NCERT solutions for Class 8 Maths chapter 14.

Q.3: Why is studying NCERT exercise 14.1 Class 8 Maths important from an exam point of view?
Ans: It is crucial to learn the important methods for factoring numbers and algebraic formulas. Students would be able to excel in the exams if they mastered this chapter. With relevant examples, NCERT solutions Class 8 Maths chapter 14 exercise 14.1 covers all of the basic concepts for factorisation.

Q.4: From where can I download the PDF for NCERT exercise 14.1 Class 8 Maths solutions?
Ans: Students can click on the link given in the article to download the PDF and study offline to score higher marks.

Q.5: Do NCERT solutions adhere to CBSE guidelines?
Ans: Yes, NCERT textbooks strictly follow the CBSE guidelines and are the most reliable study material for students preparing for the exam.

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