About RS Aggarwal Solutions for Class 8 Maths Chapter 7: Factorisation
Factorisation is a vital chapter in Class 8 Maths that introduces students to breaking down algebraic expressions into simpler factors, which is essential for simplifying equations and solving complex problems. The chapter begins with the concept of a factor and the importance of expressing expressions as products of their factors. Subtopics include factorisation by taking common factors, factorisation by grouping, factorisation using algebraic identities, and factorisation of quadratic expressions of the form ax² + bx + c. Students also learn about the difference of squares and perfect square trinomials, which are frequently used in solving equations and simplifying expressions. To prepare this chapter effectively, students should first understand the basic concept of multiplication and division of algebraic terms and practice identifying common factors in expressions. Starting with simple examples of taking common factors helps in building a strong foundation before progressing to more complex expressions involving grouping and identities. Special emphasis should be given to recognizing patterns in algebraic expressions, as many factorization techniques rely on identifying sums, differences, and squares. Practicing quadratic expressions and verifying results by multiplying factors ensures accuracy and strengthens understanding. Word problems and miscellaneous exercises in the textbook provide real-life applications of factorisation, such as calculating areas, simplifying ratios, and solving problems involving numbers and quantities. Stepwise practice is essential to avoid common errors like missing signs or incorrectly grouping terms. Maths Students are encouraged to revise algebraic identities regularly, as they form the backbone of factorisation. Mastery of this chapter enhances problem-solving skills and prepares students for linear equations, quadratic equations, and higher algebra in subsequent classes. Regular practice, clear understanding of patterns, and solving varied examples improve speed and confidence. By systematically applying methods and verifying results, learners can effectively factorise algebraic expressions and develop a strong mathematical foundation that is critical for academic success and real-life problem-solving. Factorization is the process of expressing a number or algebraic expression as a product of its factors. Factors are numbers or algebraic expressions that divide evenly into the original number or expression without leaving a remainder. In the case of numbers, factorization involves finding the prime factors of a number. Prime factors are prime numbers that divide evenly into a given number. For example, the factorization of 24 is 2 × 2 × 2 × 3, where 2 and 3 are prime factors. This can also be written as 2^3 × 3, using exponent notation. For RS Aggarwal's class 8 Maths, check out the page, and if you need home tuition for class 8 Maths, find the right tutors. In algebra, factorization involves breaking down algebraic expressions into simpler factors. This process is based on identifying common factors or using algebraic techniques such as the distributive property or factoring formulas. The goal is to express the original expression as a product of its irreducible factors. For example, consider the expression x^2 - 4. This can be factorized as (x + 2)(x - 2), where (x + 2) and (x - 2) are the factors. Multiplying these factors together gives the original expression.
Factorization is an important concept in mathematics as it helps simplify expressions, find solutions to equations, identify common factors, and solve various mathematical functions.
Exercise of RS Aggarwal Solutions for Class 8 Maths Chapter 7: Factorisation
Class 8 Maths Factorisation (Ex 7A) Exercise 7.1
Class 8 Maths Factorisation (Ex 7B) Exercise 7.2
Class 8 Maths Factorisation (Ex 7C) Exercise 7.3
Class 8 Maths Factorisation (Ex 7D) Exercise 7.4
Class 8 Maths Factorisation (Ex 7E) Exercise 7.5