Skip to main content
Super TutorResources
Chapter 4 of 28
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Expansions

ICSE · Class 9 · Mathematics

Complete topic list for Expansions in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

43 questions25 flashcards5 concepts

Interactive on Super Tutor

Studying Expansions? Get the full interactive chapter.

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

Try Super Tutor — Free

1,000+ Class 9 students started this chapter today

A geometric representation showing how (a+b)² expands to a² + 2ab + b² using areas of squares and rectangles.
Super Tutor

This is just one of 5+ visuals inside Super Tutor's Expansions chapter

Explore the full set
3 Topics · ICSE Class 9 Mathematics

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

Frequently Asked Questions

What are the important topics in Expansions for ICSE Class 9 Mathematics?
Expansions covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Expansions — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 43 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.

More resources for Expansions

All 28 chapters — ICSE Class 9 Mathematics Syllabus

For serious students

Get the full Expansions chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free