Class 9 Mathematics Exercise 4.8 – Factorization and Algebraic Manipulation (Final Exercise) | Step-by-Step Solutions | STEMBridge Learning


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Class 9 Mathematics Exercise 4.8 – Factorization and Algebraic Manipulation | STEMBridge Learning Lecture

About This Lesson

This video covers Exercise 4.8 – Factorization and Algebraic Manipulation (Final Exercise) from Class 9 Mathematics (FBISE syllabus).

In this lecture, we complete the final part of Chapter 4: Algebraic Expressions & Formulas, applying all the techniques you’ve learned so far — common factors, difference of squares, perfect square trinomials, sum/difference of cubes, and grouping methods.

🎥 Watch the full video here:
👉 Class 9 Mathematics | Exercise 4.8 | Factorization and Algebraic Manipulation | STEMBridge


Lesson Details

  • Subject: Mathematics
  • Chapter: Algebraic Expressions & Formulas
  • Exercise: 4.8
  • Topic: Factorization and Algebraic Manipulation (Final Exercise)
  • Level: Class 9 (FBISE / Matric / O-Level Equivalent)
  • Platform: STEMBridge YouTube Channel

What You Will Learn

  • ✅ Apply multiple identities within one question
  • ✅ Use systematic approach for complex factorization problems
  • ✅ Decide when to use grouping vs. direct identity application
  • ✅ Double-check and verify factored forms
  • ✅ Step-by-step solutions to Exercise 4.8
  • ✅ Exam-style examples explained in easy English

Every question is explained clearly and logically, so students of all levels (FBISE or O Level) can follow and build confidence.


Why This Topic Matters

Exercise 4.8 is the culmination of everything in Chapter 4. It helps you:

  • Strengthen algebraic manipulation skills
  • Recognize patterns and simplify expressions quickly
  • Combine multiple identities in one question
  • Improve accuracy in Paper Section B (Short & Long Questions)

Mastering this exercise prepares you for quadratic equations and advanced algebra topics.


Watch the Full Lecture

🎬 Watch here:
👉 Class 9 Mathematics | Exercise 4.8 | Factorization and Algebraic Manipulation | STEMBridge

This lesson covers all questions from Exercise 4.8 with detailed working, conceptual clarity, and exam-focused methods.


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Exam Tips for Success

📘 Follow these expert tips:

  1. Start by identifying the common factor.
  2. If none, check for special identities like (a² − b²), (a ± b)², (a³ ± b³).
  3. Group terms carefully in long expressions.
  4. After factorizing, multiply back to verify.
  5. Revise Exercises 4.4 to 4.7 before attempting 4.8.

💡 Pro Tip: Exercise 4.8 acts as a chapter test — solving it without help means you’ve mastered the chapter.


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