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Exploring Algebraic Identities — Formula Sheet

CBSE · Class 9 · Mathematics

13 formulas from Exploring Algebraic Identities (CBSE Class 9 Mathematics) on one page, grouped by topic. Part of the CBSE Class 9 Mathematics syllabus.

168 questions70 flashcards13 formulas & key relations5 concepts

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13 Entries · 6 Sections

Formulas and Key Relations

2. Main identities

(a + b)^2 = a^2 + 2ab + b^2

(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

a^2 - b^2 = (a + b)(a - b)

a^2 = (a + b)(a - b) + b^2

3. Factorisation using identities

x^2 + 7x + 12 = (x + 3)(x + 4)

x^2 + 11x + 30 = (x + 5)(x + 6)

x^2 - 5x + 6 = (x - 2)(x - 3)

x^2 + 8x + 15 = (x + 3)(x + 5)

50p^2 + 60pq + 18q^2 = 2(5p + 3q)^2

4. Rational expressions

(x^2 - 7x + 12)/(5x^2 + 5x - 100) = (x - 3)/(5(x + 5))

Identity and Equation

x^2 - 1 = 24 is an equation, not an identity.

Square of a Trinomial

The identity is useful for numbers with three parts, such as 119 = 100 + 10 + 9.

Product of Binomials and Factorisation

(x + a)(x + b) = x^2 + (a + b)x + ab.

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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 many formulas are in Exploring Algebraic Identities?
This sheet lists 13 formulas from Exploring Algebraic Identities, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

More resources for Exploring Algebraic Identities

All CBSE Class 9 Mathematics Formula Sheet

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