RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation

Q: 3. What are some of the concepts included in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation?

Factor definition and factorizationMonomial factors, including common and largest common factors.Factorization of algebraic formulas when each phrase has a common monomial factor.When a binomial is a common factor, factorization of algebraic expressions occurs.Factorization is accomplished by grouping the terms.Binomial expression factorization expressed as the difference of two squares.Binomial equations that can be expressed as a perfect square are factored.Factorization of quadratic polynomials in one variable, polynomials.The procedure of completing the perfect square is used to factorise quadratic polynomials.

RS Aggarwal Solutions

RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation

Last updated date: 17th Apr 2024

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Solutions to RS Aggarwal for Class 8

For students who are having trouble solving problems of RS Aggarwal Class 8 Mathematics for Chapter-7 Factorisation, the solution of factorization by Vedantu is the ideal study resource. RD Sharma Class 8 Mathematics includes all of the questions from the CBSE Board-approved Class 8 textbook. Vedantu subject experts have carefully crafted the solutions in order to assist students in achieving high exam scores. This Chapter's PDFs are available here, and students can download them for free using the links on the Vedantu website.

Chapter 7 Solutions for Class 8 Math

We have provided step by step solutions for all exercise questions given in the PDF of Class 8 RS Aggarwal Chapter-7 Factorisation. All the Exercise questions with solutions in Chapter-7 Factorisation are given below:

Download the Solutions from Vedantu

While RS Aggarwal Mathematics books are available for all Classes, Vedantu provides the solutions for these books, including the important RS Aggarwal Class 8 Mathematics Chapter 7 Solutions on Factorisation. These solutions are available in the PDF form so that students can easily download them and keep them handy and are able to refer to them whenever required. Sometimes, we find ourselves in such a situation that we are unable to solve a Mathematics problem, and then have to go scrounging through the internet looking for the solutions. With Vedantu’s solutions for RS Aggarwal books, you needn’t do that anymore, rather you can keep the solutions downloaded and ready for use anytime you require them.

Explanation to Factorisation Class 8 Solutions

Factorisation is one of the mathematical concepts for which it is important to build a base when we first learn it because it is used in most mathematical concepts in the higher Classes. It is one of the most important components of Algebra and learning how to factorize numbers will help us immensely when we begin more complex Mathematics.

The Chapter begins with explaining the factors of natural numbers and of algebraic expressions. It then goes on to explain what factorisation is, as a written expression as a product of its factors. For example, we would factorize the number 20 by writing it as (4 x 5), or (2 x 10), or (2 x 2 x 5) when we are factorizing it.

The process of factorisation in Class 8 is explained using algebraic expression through various methods, which are as follows.

By common factors: Breaking down an algebraic expression using the factors which the constants and variables have in common. For example, the expression 4a2b + 8ab2 will be broken down into its common factors and written as: 2 x 2 x a x a x b + 2 x 2 x 2 a x b x b.

By regrouping: Regrouping refers to forming groups of algebraic expressions which have the same variable in it so that it can be factored more easily. For example, the expression 6xy - 4y + 6 - 9x does not have any common factors other than 6xy and -4y, and the number 3, thus, these two will be grouped and the other two will be grouped together as two different parts, then put together to factorize. 2y(3x - 2)is the first group and -3(3x - 2) is the second group. Putting these two ‘groups’ together, we get (2y - 3) and (3x - 2) as the factors of the expression.

Using Identities: The three basic identities are:

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

Using these identities, the factors of different equations can be found.

The Chapter also touches upon the operations between algebraic expressions and how they can be carried out using factorisation.

Benefits of the Solutions

The following are the benefits of the Class 8 Mathematics RS Aggarwal Chapter 7 Solutions for Factorisation, provided for you by Vedantu:

These solutions are in a downloadable, PDF format, meaning that you can keep them handy with you instead of wasting time searching for answers one by one on the internet.
The solutions have been created by people who are former teachers and subject experts of Mathematics, and therefore, know very well how to draft such solutions for students. The accuracy and correctness of the solutions are, thus, ensured.
The solutions will be helpful for students who wish to verify their own answers and method of solving problems, and also for students who are weaker in Mathematics, and who may get stuck on a problem here and there.

FAQs on RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation

1. What do you mean by Regrouping in Factorisation?

When talking factoring algebraic expressions, there is always a chance that there may not be any common variables in that equation, per se. Maybe one or two common variables out of four or six, but not more. In such cases, we must group these common variables and leave the ones which don’t fit and try to find commonalities in all of them. While doing this, we can find common factors and put them in appropriate brackets, so that the factors of an algebraic expression can be thus found. This process is called regrouping and is important in terms of factorising algebraic expressions.

2. What are the different ways of factorising numbers and algebraic expressions?

To factorise numbers, we may use the simple common factor method to find the factors of a number. This method can even be used with simple algebraic expressions which have all of the common variables. However, there are two other methods which we may use to factorise numbers and expressions, which are slightly more complex than the common factor method but are required when considering different variables. These methods are the regrouping method (where we put common factors in separate groups and bring them as factors separately) and the identities method, where we use the simple algebraic identities to find out the factors of an expression.

3. What are some of the concepts included in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation?

Factor definition and factorization
Monomial factors, including common and largest common factors.
Factorization of algebraic formulas when each phrase has a common monomial factor.
When a binomial is a common factor, factorization of algebraic expressions occurs.
Factorization is accomplished by grouping the terms.
Binomial expression factorization expressed as the difference of two squares.
Binomial equations that can be expressed as a perfect square are factored.
Factorization of quadratic polynomials in one variable, polynomials.
The procedure of completing the perfect square is used to factorise quadratic polynomials.

4. How can you download the RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation?

Mathematics is a subject which requires great practice of numericals after going through the concepts. RS Agarwal provides you with separate exercises on all the different concepts. This will give you the required amount of practice after which you will become confident in the Chapter and boost your marks immensely for the finals. While solving the questions, you might encounter doubts in several places and the best place to clear all your doubts and get the most accurate solution prepared by the subject experts is at Vedantu. You can download the RS Aggarwal Class 8 Mathematics Solutions for Chapter-7 Factorisation PDF for free on the Vedantu website and refer to it offline, at the convenience of your home. You can also visit the solution online on the site of Vedantu.

5. What is the best way to learn the Chapter RS Aggarwal Class 8 Mathematics Chapter-7 Factorisation?

RS Aggarwal Class 8 Mathematics Chapter-7 Factorisation is an interesting Chapter that requires thorough understanding of the concepts and practicing a number of numericals based on the same concept alongside. The greater the number of questions you practice after having understood the concept or theory of the Chapter completely, greater is the hold you will have on that Chapter. This will help you build confidence and enhance your performance in the exam greatly.After you have solved all the Chapters, now you should start solving the previous year papers and mocks available on Vedantu to increase your speed and efficiency and enhance your overall score of the subject.