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Revision Notes

Identities

ICSE · Class 8 · Mathematics

Quick revision notes for Identities — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

75 questions28 flashcards5 concepts

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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.
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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.
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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.
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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.

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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?
Identities covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Identities — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 75 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.

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