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Exploring Algebraic Identities

CBSE · Class 9 · Mathematics

Complete topic list for Exploring Algebraic Identities in CBSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

168 questions70 flashcards5 concepts

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4 Topics · CBSE Class 9 Mathematics

Topics in Exploring Algebraic Identities

1

1. Identity and Equation

  • An algebraic identity is true for all values of the variables.
  • An equation is true only for specific value or values of the variable.
  • x^2 - 1 = 24 is an equation, not an identity.
2

2. Square of a Sum and Square of a Difference

  • (a + b)^2 = a^2 + 2ab + b^2 is a basic identity.
  • (a - b)^2 = a^2 - 2ab + b^2 is obtained by replacing b with -b.
  • The distributive property proves (a + b)^2 generally.
3

3. Square of a Trinomial

  • (a + b + c)^2 is expanded by using the square of a sum twice.
  • The identity is useful for numbers with three parts, such as 119 = 100 + 10 + 9.
  • The identity gives six terms: three squares and three double products.
4

4. Product of Binomials and Factorisation

  • (x + a)(x + b) = x^2 + (a + b)x + ab.
  • This identity helps factor quadratic expressions with the first term x^2.
  • For x^2 + 7x + 12, the factors are (x + 3)(x + 4).

Key Concepts

Central concept: Algebraic identities and their use in expansion, factorisation, calculation, and simplification

Identity versus equationSquare of sumSquare of differenceSquare of trinomial sumDifference of squaresShridharacharya's square shortcutProduct of binomials with common variableGeneral product of two linear binomials

Frequently Asked Questions

What are the important topics in Exploring Algebraic Identities for CBSE Class 9 Mathematics?
Exploring Algebraic Identities covers several key topics that are frequently asked in CBSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Exploring Algebraic Identities — CBSE Class 9 Mathematics?
Understand the core concepts first, then work through the 168 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Exploring Algebraic Identities

All 8 chapters — CBSE Class 9 Mathematics Syllabus

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