Maths 9th Punjab Boards Exercise 4.2 Question 4

9th Class Mathematics — Punjab Board Textbook — Chapter 4: Factorization & Algebraic Manipulation — Exercise 4.2 — Question No. 4
Subject: Mathematics (PCTB / Punjab Board)
Level: Class 9 (9th Grade — New Syllabus 2025-26)

Chapter: Factorization & Algebraic Manipulation
Exercise: 4.2
Question: Number 4
Factorization Problem
Welcome to our complete 9th Class Math video focusing on Punjab Board Textbook (PCTB) Exercise 4.2 — Question Number 1, which comes from Chapter 4: Factorization & Algebraic Manipulation. This video is designed to help students understand, solve, and master the first question in Exercise 4.2 step by step. We explain every part clearly, using rules of algebraic factorization, identities, and formulas, so you can learn effectively and score high marks in your exams.
This is Class 9 Math — Punjab Board (New Syllabus by Punjab Curriculum & Textbook Board PCTB) exercise 4.2, Question No. 4, and the focus is on Factorization — one of the most fundamental and exam-important topics in algebra. Factorization is a key concept in Class 9 Mathematics that helps you simplify expressions and understand deeper


📌 ABOUT THE EXERCISE
In Exercise 4.2 of the 9th Class Punjab Board Math Textbook, students are asked to factorize algebraic expressions using various algebraic identities and techniques. One of the important questions in this exercise is Question 4, where multiple expressions given need to be broken down into factors.
Factorization is essential in algebra, not just for solving equations, but for understanding how expressions are constructed — which helps in higher-level math topics like equations, polynomials, quadratic expressions, and algebraic manipulation.


🎯 WHAT YOU WILL LEARN IN THIS VIDEO
✔ What factorization means
✔ How to recognize patterns in algebraic expressions
✔ How to apply identities like sum/difference of cubes
✔ How to break expressions into simpler factors
✔ Why factorization is important for math exams
✔ How to score better in algebra questions
Whether you’re a Punjab Board student preparing for your school exams, unit tests, homework, or self-practice, this video is made for you! This full lesson will help you understand the complete solution to Exercise 4.2 — Q # 4 and build confidence for solving other questions on factorization.




📚 PUNJAB BOARD CONTEXT
This video follows the Punjab Curriculum & Textbook Board (PCTB) syllabus for Class 9 Mathematics. The Punjab Board updates its textbooks periodically, and the new syllabus (2025-26) focuses on conceptual understanding and algebraic skills. Exercise 4.2 is part of the Chapter 4: Factorization & Algebraic Manipulation, which is taught early in the year and is an essential part of algebra.


✔ This exercise covers algebraic expressions
✔ It improves logical reasoning
✔ It builds a stronger foundation for algebra
✍️ QUESTION SUMMARY — EXERCISE 4.2 Q #4
In Question 1 of Exercise 4.2, students must factorize expressions such as:
🔹 Algebraic expressions
🔹 Polynomial sums or differences
🔹 Special forms requiring algebraic identities
These problems help students improve their algebraic manipulation skills and prepare for more complex math later in the syllabus.


🎓 KEY CONCEPTS COVERED
📍 Factorization — breaking down complicated expressions into products of simpler factors
📍 Algebraic Identities — such as:
These formulas are frequently used while factorizing cubic expressions and sum/difference forms.
📍 Recognizing Patterns — expressions that look complex but can be simplified using identities
📍 Polynomials in Factor Form — result of correctly applying algebraic rules
🧮 EXAMPLES IN THE VIDEO
In this video solution, we break down expressions step-by-step. For example, we learn how to factor expressions like:
🔹 Sum of cubes:
🔹 We apply the same pattern to factor expressions involving cubes of variables or numbers.
By watching this video, learners will see how terms are recognized as cubes, how algebraic identities are applied, and how each expression becomes a product of simpler factors.


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🎓 **Thanks for watching! Don’t forget to like, comment, share, and subscribe if this video helped you master the concept of factorization and excel in your 9th class math Punjab board exams! ➤ Good luck! 💯😊