Complete Solutions and Summary of Factorisation – NCERT Class 8 Mathematics Chapter 12
Explanations, solved examples, and exercises on factorisation of natural numbers and algebraic expressions, including methods using common factors, regrouping, identities, division of algebraic expressions, and practical techniques from NCERT Class 8 Mathematics Chapter 12.
Updated: 10 months ago
Factorisation
Chapter 12: Algebra and Expressions
Complete Study Guide with Interactive Learning
Chapter Overview
What You'll Learn
Factors of Natural Numbers
Understanding prime factors and expressing numbers as products.
Algebraic Factorisation
Methods like common factors, regrouping, identities, and more.
Division Techniques
Dividing monomials, polynomials by monomials or polynomials.
Irreducible Factors
Identifying factors that cannot be broken down further.
Historical Context
This chapter builds on Class VI and VII concepts, focusing on expressing algebraic expressions as products of irreducible factors. It covers systematic methods for factorisation and division, essential for solving equations and simplifying expressions in algebra.
Key Highlights
Factorisation is key in algebra for simplifying expressions. Methods include common factors, regrouping, identities like \((a + b)^2 = a^2 + 2ab + b^2\), and polynomial division where remainder is zero.
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