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Exploring Algebraic Identities — Syllabus

CBSE · Class 9 · Mathematics

What Exploring Algebraic Identities covers in CBSE Class 9 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 9 Mathematics syllabus.

168 questions70 flashcards13 formulas & key relations5 concepts

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4 Topics · CBSE Class 9 Mathematics · 2026-27

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

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Frequently Asked Questions

What are the important topics in Exploring Algebraic Identities for CBSE Class 9 Mathematics?
Key topics in Exploring Algebraic Identities include Identity and Equation, Square of a Sum and Square of a Difference, Square of a Trinomial, Product of Binomials and Factorisation. Study these first, then practise questions on each for Class 9 exams.
How should I revise Exploring Algebraic Identities for Class 9 exams?
Learn the core ideas first, then work through the 168 practice questions on Exploring Algebraic Identities. Revise 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.

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All CBSE Class 9 Mathematics Syllabus

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