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 – Factorisation on Algebraic Expressions” are made to help you study this chapter well for the Class 8 Maths exam. You will learn how to add, subtract, multiply, and divide algebraic expressions in this chapter of RS Aggarwal Class 8 Solutions. You will also learn some very important algebraic identities that will help you not just in Class 8, but also in classes after that.

RS Aggarwal Class 8 Solutions 7 – Factorisation has 95 practice questions and 5 exercises. All of these questions are meant to make sure you fully understand the ideas in the chapter and are well-prepared for your tests. The questions are based on the latest CBSE Class 8 Maths curriculum. There are also some advanced-level problems that will help students prepare for olympiads like NTSE and IMO.

Step-by-step solutions to the RS Aggarwal Class 8 Solutions 7 – Factorisation math problems have been made by our math experts to help you understand the topics. Our experts know the most common problems you might run into in this chapter, so they made the solutions to match. Our answers will make it easier for you to do your homework and study for tests related to this chapter.

RS Aggarwal Class 8 Solutions 7 – Factorisation– Operations on Algebraic Expressions

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  • Chapter 1: Rational Numbers
  • Chapter 2: Exponents
  • Chapter 3: Squares and Square Roots
  • Chapter 4: Cubes and Cube Roots
  • Chapter 5: Playing with Numbers
  • Chapter 6: Operations on Algebraic Expressions
  • Chapter 7: Factorisation
  • Chapter 8: Linear Equations
  • Chapter 9: Percentage
  • Chapter 8: Profit and Loss
  • Chapter 11: Compound Interest
  • Chapter 12: Direct and Inverse Proportions
  • Chapter 13: Time and Work
  • Chapter 14: Polygons
  • Chapter 15: Quadrilaterals
  • Chapter 16: Parallelograms
  • 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
  • Chapter 24: Probability
  • Chapter 25: Graphs
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.”

An important topic for RS Aggarwal Class 8 Solutions Chapter 7
Algebraic Expressions
  • You should first understand what Algebraic Expressions are. An algebraic expression is a mathematical expression that includes constants, variables, and operators.
  • Then, operators are used to separating the “Terms” of an algebraic expression.
  • There are some parts to every word.
  • Every term has a coefficient, which is the constant value and the variable.
  • When two terms have the same variables, they are called “like terms.”
  • When the variables of two terms are different, we say that they are “unlike terms.”
Monomials, Binomials, Trinomials, and Polynomials
  • A monomial is an expression in algebra that has only one term.
  • A binomial is an expression in algebra that only has two terms.
  • A three-term algebraic expression is called a trinomial.
  • A polynomial is an algebraic expression with one or more terms and coefficients that are all greater than zero.
Some common identities in algebra
  • (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

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.

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.

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.

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