Welcome to this detailed and easy-to-understand lecture on 10th Class Maths | Exercise 2.1 Q3 | Completing the Square | NBF New Book | FBISE SSC-II 2025.
In this video, we will solve the complete Question 3 of Exercise 2.1 from the National Book Foundation (NBF) New Book 2025 Edition, following the Federal Board of Intermediate and Secondary Education (FBISE) syllabus.
This topic — Completing the Square — is one of the most important and foundational algebraic techniques in Chapter 2: Factorization and Completing the Square. It helps students understand how quadratic expressions can be converted into perfect squares, forming the basis for solving quadratic equations later in the syllabus.
This video provides a step-by-step, board-style explanation with clear methods and examples to make the concept easy for every student preparing for FBISE SSC-II (2025).
📘 What’s Covered in This Lecture:
✅ Exercise 2.1 Q3 complete solution from the NBF New Book (2025 Edition)
✅ Step-by-step explanation of the Completing the Square method
✅ Understanding how to convert a quadratic expression into a perfect square form
✅ Use of formulas and algebraic manipulation
✅ Explanation of each mathematical step with logic
✅ Board-style working for FBISE exam preparation
✅ Tips and tricks to simplify and complete the square efficiently
This lecture is extremely helpful for students during their Mid Term Break as well as for those preparing for the Final FBISE Exam 2025.
📚 About the Topic – Completing the Square:
The method of completing the square is a technique used to transform a quadratic expression into a perfect square trinomial. This helps in solving quadratic equations easily and is also essential for graphing parabolas in higher classes.
In 10th Class Mathematics (NBF 2025 Book), Chapter 2 combines Factorization and Completing the Square, making it an essential part of the mid-term syllabus.
By mastering this method, students will be able to handle a wide variety of algebraic problems and prepare a strong foundation for Quadratic Equations, Algebraic Identities, and Coordinate Geometry.
🎯 Learning Outcomes:
After watching this video, you will be able to:
✔ Understand the concept and logic of completing the square.
✔ Apply algebraic formulas such as
(a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b².
✔ Rewrite quadratic expressions in perfect square form.
✔ Solve problems involving half coefficient method and balancing both sides.
✔ Avoid common mistakes while completing the square.
✔ Present your solution neatly in FBISE exam format.
This video lecture is suitable for both English medium and Urdu medium students, explained clearly with examples and simplified steps.
🧮 Video Highlights:
🔹 Complete Solution of Exercise 2.1 Question 3
🔹 Step-by-step explanation of completing square technique
🔹 Easy formula-based approach
🔹 Board-style problem solving
🔹 Key concepts explained visually
🔹 Mid Term Break Revision for FBISE SSC-II 2025
📖 Book & Board Details:
Class: 10 (SSC-II)
Subject: Mathematics
Chapter: 2 – Factorization and Completing the Square
Exercise: 2.1
Question Covered: Q3 (Completing the Square)
Book: National Book Foundation (NBF) – New Book 2025 Edition
Board: Federal Board of Intermediate and Secondary Education (FBISE), Islamabad
Term: Mid Term Break / First Term
Session: 2025
💡 Why This Lecture is Important:
This lecture is designed to make the Completing the Square method simple, clear, and exam-oriented. Many students find this topic challenging, but this video explains it with step-by-step board presentation, easy-to-follow language, and real exam-style examples.
If you are a Federal Board (FBISE) student using the NBF New Book (2025), this lecture will help you prepare perfectly for both mid-term and final exams.
It also builds your foundation for upcoming chapters like Quadratic Equations and Graphs of Parabolas, which depend on this concept.
This video is part of the Khurram Foundation Mathematics Series, specially made for FBISE students to prepare easily with complete conceptual understanding.
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