Download the official Algebraic Identities chapter from the new Ganita Manjari textbook here. This Class 9 Maths Book PDF Chapter 4 Algebraic Identities is the exact NCERT file for the 2026-27 session. Use it to learn the square and cube identities and factorisation from the source before your Class 9 annual exam.
- Length: the official chapter PDF runs to 24 pages of text, area models, and exercises.
- What it teaches: (a+b)2, difference of squares, cube identities, and factorisation.
- New book: this is the 2026-27 Ganita Manjari book, so Algebraic Identities is now Chapter 4.
This is the original NCERT chapter file, matched to the current 2026-27 syllabus, so every page, area model, and exercise number is exactly what your teacher uses in class.
What's in the Class 9 Maths Algebraic Identities NCERT Book PDF?
The Class 9 Maths Book PDF Chapter 4 Algebraic Identities is a 24-page chapter. It first shows the difference between an identity and an equation, then builds the square identities using area models. The file moves to the product (x+a)(x+b), the difference of squares, cube identities, and the sum and difference of cubes. It ends with factorisation, five exercise sets, and an End-of-Chapter set.
Video Chapter Walkthrough
Source: PW Class 9 - NEEV on YouTube
Algebraic Identities Section-by-Section Overview
The chapter grows from simple squares to cubes and factoring. The table below maps each section to what you will learn.
| Section | Topic | What you will learn |
|---|---|---|
| Introduction to Identities | Identity vs equation | Why an identity holds for every value of the variable |
| Squaring a Binomial | (a+b)2 and (a-b)2 | Seeing the square identities through area models |
| The Product (x+a)(x+b) | Rectangle model | Expanding two brackets into a general pattern |
| Difference of Squares | a2 - b2 and trinomials | Factoring a difference of squares and squaring a trinomial |
| Cubic Identities | (a+b)3 and Pascal's triangle | Expanding cubes through a cube dissection |
| Sum and Difference of Cubes | Factoring cubes | Factoring a3 ± b3 and the three-variable identity |
| Factorisation | Splitting the middle term | Using identities to factor and simplify rational expressions |
Solved Examples and Exercises in Algebraic Identities
The chapter gives in-text solved examples first, then exercise sets to practise. Read the solved examples before you try each set.
- Exercises 4.1 to 4.5: five sets covering squares, cubes, and factorisation.
- End-of-Chapter Exercises: mixed problems that pull the whole chapter together.
- In-text solved examples: step-by-step models placed through the chapter text.
What Changed in the 2026-27 Algebraic Identities Chapter
This chapter comes from the new Ganita Manjari book, which replaces the old 15-chapter NCERT Maths book. The new book is activity-based, so each identity is proved with an area or volume model before you use it. The old book mixed identities into a broader polynomials chapter. Now Algebraic Identities is its own Chapter 4, so the square and cube results get full space with pictures and practice.
How to Read the Algebraic Identities Chapter
Read the Class 9 Maths Book PDF Chapter 4 Algebraic Identities with a pencil to redraw each area model. Skim once to see the flow, then read slowly and expand each identity by hand. Work through the solved examples, and only then try the exercises. This skim, then detail, then examples, then exercises order fixes the identities in memory.
How will Collegedunia Help You with the Algebraic Identities NCERT Book?
Collegedunia pairs the Class 9 Maths Book PDF Chapter 4 Algebraic Identities with free study support, so factoring feels easy.
- Free download: get the official chapter PDF in one click, with no sign-up.
- Matched resources: open the notes, formula sheet, and solutions for the same chapter.
- 2026-27 ready: every linked resource follows the new Ganita Manjari book.
- Exam focus: the support is framed for your Class 9 annual exam and the base for Class 10 algebra.
More Algebraic Identities Maths Class 9 Resources
Use the box below to open other study resources for the same chapter.
NCERT Book PDF for Class 9 Maths: All Chapters
Use the table below to open the NCERT Book PDF for any other chapter of the new Class 9 Maths book.
| Chapter | Resource |
|---|---|
| Chapter 1 | Coordinates NCERT Book PDF |
| Chapter 2 | Linear Polynomials NCERT Book PDF |
| Chapter 3 | The World of Numbers NCERT Book PDF |
| Chapter 4 | Algebraic Identities NCERT Book PDF |
| Chapter 5 | Circles NCERT Book PDF |
| Chapter 6 | Perimeter and Area NCERT Book PDF |
| Chapter 7 | Introduction to Probability NCERT Book PDF |
| Chapter 8 | Sequences and Progressions NCERT Book PDF |
Algebraic Identities Class 9 Maths NCERT Book PDF FAQs
Ques. How many pages is the Class 9 Maths Algebraic Identities NCERT Book PDF?
Ans. The official Chapter 4 Algebraic Identities file runs to 24 pages. It holds the full text, area models, five exercise sets, and the End-of-Chapter set.
Ques. Is Algebraic Identities part of the new Ganita Manjari book?
Ans. Yes. Algebraic Identities is Chapter 4 of the new Ganita Manjari book for the 2026-27 syllabus. The old NCERT book folded these results into a wider polynomials chapter.
Ques. Is this the official NCERT chapter PDF?
Ans. Yes. This is the original NCERT chapter file, not a copy, so the pages and exercise numbers match the book your school uses.
Ques. What exercises does Chapter 4 have?
Ans. The chapter has five exercise sets, 4.1 to 4.5, and one End-of-Chapter set, along with in-text solved examples.
Ques. Which identities does this chapter cover?
Ans. It covers the square identities, the difference of squares, the cube identities, and the sum and difference of cubes, then uses them to factorise.
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