NCERT Exemplar Class 8 Maths Chapter 7: Algebraic Expressions and Identities & Factorisation
This combined chapter in NCERT Exemplar Solutions for Class 8 Maths focuses on Algebraic Expressions, Identities, and Factorisation. It begins with the basics of algebraic expressions, including terms, coefficients, constants, and like/unlike terms. Students practice addition, subtraction, multiplication, and division of expressions, which strengthens their algebraic manipulation skills.
The next section introduces special identities, such as (a + b)² = a² + 2ab + b² and (a – b)² = a² – 2ab + b². Learners explore how these identities simplify complex expressions and solve word problems. NCERT solutions for Class 8 Maths include step-by-step explanations, helping students understand how to apply these identities effectively. The chapter then covers factorisation techniques, including:
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Taking out common factors
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Factorisation by grouping terms
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Using identities for factorisation
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Factorisation of quadratic expressions
The NCERT Exemplar Solutions for Class 8 Maths provide challenging problems, requiring students to apply multiple methods and identities to reach solutions. This builds higher-order thinking and prepares learners for advanced algebra in higher grades. Real-life applications, such as solving geometric problems and simplifying equations, make algebra meaningful. Alongside, NCERT solutions for Class 8 Maths promote logical and step-by-step problem-solving, complementing algebraic reasoning. By mastering this chapter, students gain fluency in algebra, making them confident in handling equations, polynomials, and advanced factorization in later classes.