Skip to main content
Super TutorResources
Chapter 12 of 25
Revision Notes

Identities — Revision Notes

ICSE · Class 8 · Mathematics

Identities revision notes for ICSE Class 8 Mathematics: 4 topics in quick points. Part of the ICSE Class 8 Mathematics syllabus.

75 questions28 flashcards7 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Identities? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

Key Topics to Revise

1

1. Identity and Special Products

  • An identity gives the same value on the left-hand side and the right-hand side for every valid value of the variable.
  • Special products are multiplications of certain expressions that can be done by a direct or shortcut method.
  • The four special products of two binomials depend on the sign pattern of the terms.
2

2. Expansion of Squares

  • Expansion means multiplying an expression with itself to get its second, third, or higher power.
  • The square of a sum has a positive middle term.
  • The square of a difference has a negative middle term.
3

3. Cubes of Binomials

  • The cube of a binomial is the product of a binomial with its square.
  • Both cube formulas have four terms.
  • The sign pattern must be followed exactly.
4

4. Application of Identities

  • Identities are useful for finding missing values when some terms are already given.
  • Square identities help find a^2 + b^2, ab, a + b, and a - b.
  • Three-term square identities help find ab + bc + ca.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

An identity is an algebraic equationSpecial products are multiplications of certainThe identity (x + y)(x(a + b)^2 = a^2 +(a + b + c)^2 =

Frequently Asked Questions

What are the important topics in Identities for ICSE Class 8 Mathematics?
Key topics in Identities include Identity and Special Products, Expansion of Squares, Cubes of Binomials, Application of Identities. Study these first, then practise questions on each for Class 8 exams.
How should I revise Identities for Class 8 exams?
Learn the core ideas first, then work through the 75 practice questions on 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 Identities

All ICSE Class 8 Mathematics Revision Notes

For serious students

Get the full Identities chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 8 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free