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Exploring Algebraic Identities — Revision Notes

CBSE · Class 9 · Mathematics

Exploring Algebraic Identities revision notes for CBSE Class 9 Mathematics: 4 topics in quick points. Part of the CBSE Class 9 Mathematics syllabus.

168 questions70 flashcards13 formulas & key relations5 concepts

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Key Topics to Revise

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).

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Full Notes

Key Concepts

An algebraic identity is true(a + b)^2 = a^2 +(a(a + b + c)^2 =a^2

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 Revision Notes

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