RS Aggarwal Class 8 Solutions Chapter 7
RS Aggarwal Solutions for Class 8 Chapter 7 – Factorisation PDF
RS Aggarwal Class 8 Maths Solutions Chapter-wise – Free PDF Download
The RS Aggarwal Class 8 Solutions Chapter 7 “Factorization” will help you understand how to factorize algebraic expressions. In this chapter of RS Aggarwal Class 8 Solutions, you will learn what factors are, what factorization is, how to find common factors, how to factor by regrouping terms, how to factor by using identities, how factoring can be used to divide algebraic expressions, and how to find the factors of a perfect square.
This chapter has 5 exercises with a total of about 157 questions. This makes it much easier for you to practice all the important ideas in the chapter and get ready for the tests. All of the exercises in RS Aggarwal Class 8 Solutions Chapter 7 are based on the most recent CBSE exam pattern. There are easy to hard problems in the exercises, which can also help you prepare for the olympiads and other competitive tests.
Factorization is an important math concept that helps you solve problems with numbers, compare things, and solve problems with time and money. Our experts in the field give step-by-step answers to all the exercise questions in RS Aggarwal Class 8 Solutions Chapter 7 that will help you understand the ideas easily. All of the answers follow the current CBSE Class 8 Maths curriculum.
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RS Aggarwal Class 8 Solutions Chapter 7 – Factorisation
RS Aggarwal Class 8 Solutions
Chapter-1 Rational Numbers
Chapter-3 Squares and Square Roots
Chapter-4 Cubes and Cube Roots
Chapter-5 Playing with Numbers
Chapter-6 Operations on Algebraic Expressions
Chapter-8 Linear Equations
Chapter-10 Profit and Loss
Chapter-11 Compound Interest
Chapter-12 Direct and Inverse Proportions
Chapter-13 Time and Work
Chapter-17 Construction of Quadrilaterals
Chapter-18 Area of a Trapezium and a Polygon
Chapter-19 Three-Dimensional Figures
Chapter-20 Volume and Surface Area of Solids
Chapter-21 Data Handling
Chapter-22 Constructing and Interpreting Bar Graphs
Chapter-23 Pie Charts
Factorization is one of the most important topics for RS Aggarwal Class 8 Solutions Chapter 7
Factors and Factorization
You can write a number or an algebraic expression as the sum of other numbers or expressions. Factors are the names for these numbers or algebraic expressions. For example, 30 = 10 x 3. 10 and 3 are factors of 30 in this case. But there are many other things that can make up 30.
In the same way, 3ab is an expression in algebra, and 3ab = 3 x an x b. Here, the factors of 3ab are 3, a, and b. These parts of the equation can’t be broken down any further, so they are called “irreducible factors.”
Some Important Identities
In order to find the factors of an algebraic expression, we may have to use identity in some questions. These names and faces are:
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- (a + b) (a – b) = a2 – b2
RS Aggarwal Class 8 Solutions Chapter 7: Factorization Exercise Discussion
In RS Aggarwal Class 8 Solutions Chapter 7 “Factorization,” there are 5 exercises.
- Exercise 7A has 28 questions that have to do with using common factors to find the factors of algebraic expressions. Because all of the questions are the same, it is easy to practice.
- In the 28 questions in Exercise 7B, you have to use identities to find the factors of the given algebraic expressions.
- Again, the 19 questions in Exercise 7C ask you to use identities to find the factors of given algebraic expressions.
- Exercise 7D has 42 questions based on the idea that you can find the factors of an algebraic expression by putting the terms back together.
- Exercise 7E is a miscellaneous set of 20 questions that cover all of the ideas from the chapter. So you have to figure out which factorization method to use for each question.
FAQ ( Frequently Asked Questions )
1. What does “Regrouping in Factorisation” mean?
Ans – When talking about factoring algebraic expressions, there is always a chance that the equation doesn’t have any common variables. Maybe one or two of the four or six variables are the same, but not more than that. In this case, we have to group the variables that have a lot in common, leave the ones that don’t fit and try to find things that they all have in common. When we do this, we can find common factors and put them in the right brackets. This makes it possible to find the factors of an algebraic expression. This is called regrouping, and it’s a key step in factoring algebraic expressions.
2. What are the different ways of factorizing numbers and algebraic expressions?
Ans – We can use the simple common factor method to figure out the factors of a number. Even simple algebraic expressions with all the common variables can be solved with this method. But there are two other ways to factorize numbers and expressions that are a little more complicated than the common factor method but are needed when different variables are involved. These are the regrouping method and the identities method. With the regrouping method, we put factors that are the same into separate groups and then use each group as a factor on its own. With the identities method, we use simple algebraic identities to find the factors of an expression.
3. What are some of the concepts covered in the RS Aggarwal Class 8 Solutions Chapter 7 Factorisation?
Ans – Definition of a factor and factorization
- Monomial factors, such as the most common and most common ones.
- Algebraic formulas can be broken down into their parts when each phrase has a common monomial factor.
- When a binomial is a common factor, algebraic expressions are said to be factorized.
- Factorization is done by putting the terms into groups.
- The factorization of a binomial expression is written as the difference between two squares.
- Factoring is a way to solve binomial equations that can be written as a perfect square.
- Quadratic polynomials with one variable can be broken down into their factors.
- Quadratic polynomials can be broken down into their parts by using the method of completing the perfect square.