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Syllabus

Expansions — Syllabus

ICSE · Class 9 · Mathematics

What Expansions covers in ICSE Class 9 Mathematics: 3 topics, for the 2026-27 session. Part of the ICSE Class 9 Mathematics syllabus.

43 questions25 flashcards12 formulas & key relations5 concepts

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A geometric representation showing how (a+b)² expands to a² + 2ab + b² using areas of squares and rectangles.
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3 Topics · ICSE Class 9 Mathematics · 2026-27

Topics in Expansions

1

Core ideas and identities

  • Expansion means evaluating the contents of brackets.
  • The square of sum is obtained by multiplying (a+b)(a+b) step by step.
  • The square of difference is obtained in a similar way from (a-b)(a-b).
2

Worked verification of the main identity

  • The identity (a+b)^2 = a^2+2ab+b^2 can be tested with different values of a and b.
  • For a=5 and b=3, both sides give 64.
  • For a=-8 and b=5, both sides give 9.
3

Reciprocal identities and their use

  • The reciprocal identities apply only when a is not zero.
  • The expression a^2+1/a^2 can be found from (a+1/a)^2 by subtracting 2.
  • The expression a^2+1/a^2 can also be found from (a-1/a)^2 by adding 2.

Key Concepts

Central concept: Expansions

Meaning of expansionSquare of sum identitySquare of difference identitySum of squares identityProduct identityReciprocal square sum identitiesCombined reciprocal identitiesIdentity

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Frequently Asked Questions

What are the important topics in Expansions for ICSE Class 9 Mathematics?
Key topics in Expansions include Core ideas and identities, Worked verification of the main identity, Reciprocal identities and their use. Study these first, then practise questions on each for Class 9 exams.
How should I revise Expansions for Class 9 exams?
Learn the core ideas first, then work through the 43 practice questions on Expansions. 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 ICSE Class 9 Mathematics Syllabus

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