CBSE 8 Mathematics | 8. Algebraic Expressions and Identities by Pavan | Learn Smarter
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8. Algebraic Expressions and Identities

8. Algebraic Expressions and Identities

The chapter covers algebraic expressions and their manipulation, focusing on addition, subtraction, multiplication, and the use of identities. Key methodologies such as the distributive law, combining like terms, and finding areas and volumes through algebraic expressions are discussed. By understanding the fundamentals of algebraic expressions, students can efficiently address mathematical problems involving variables and constants.

12 sections

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Sections

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  1. 8
    Algebraic Expressions And Identities

    This section introduces algebraic expressions, focusing on their addition,...

  2. 8.1
    Addition And Subtraction Of Algebraic Expressions

    This section introduces the principles and methods for adding and...

  3. 8.2
    Multiplication Of Algebraic Expressions: Introduction

    This section introduces the multiplication of algebraic expressions,...

  4. 8.3
    Multiplying A Monomial By A Monomial

    This section describes the methods and processes involved in multiplying...

  5. 8.3.1
    Multiplying Two Monomials

    This section introduces the multiplication of two monomials, showing how to...

  6. 8.3.2
    Multiplying Three Or More Monomials

    This section explains how to multiply three or more monomials together,...

  7. 8.4
    Multiplying A Monomial By A Polynomial

    This section focuses on the multiplication of monomials by polynomials,...

  8. 8.4.1
    Multiplying A Monomial By A Binomial

    This section covers how to multiply a monomial by a binomial using the...

  9. 8.4.2
    Multiplying A Monomial By A Trinomial

    In this section, we learn to multiply a monomial by a trinomial using the...

  10. 8.5
    Multiplying A Polynomial By A Polynomial

    This section covers the methods and processes involved in multiplying...

  11. 8.5.1
    Multiplying A Binomial By A Binomial

    This section teaches the process of multiplying binomials using the...

  12. 8.5.2
    Multiplying A Binomial By A Trinomial

    This section discusses the procedure for multiplying a binomial by a...

What we have learnt

  • Expressions are formed from variables and constants.
  • Like terms can be combined during addition or subtraction of expressions.
  • Multiplying monomials and polynomials involves systematic application of distributive laws.

Key Concepts

-- Algebraic Expression
An expression formed by combining variables, constants, and operations.
-- Monomial
An algebraic expression that contains only one term.
-- Polynomial
An algebraic expression formed by adding or subtracting one or more monomials.
-- Distributive Law
A fundamental property that allows multiplication of a single term across terms in a parenthesis.
-- Like Terms
Terms that contain the same variable raised to the same power.

Additional Learning Materials

Supplementary resources to enhance your learning experience.