Factorise 9x^2 + 6xy + y^2 | Perfect Square Identity Explained Step-by-Step

CodeLucky · Beginner ·📐 ML Fundamentals ·2w ago
Learn how to factorise the algebraic expression nine x squared plus six x y plus y squared using the perfect square identity, explained in a simple and beginner-friendly way. 📚✨ In this lesson, you will discover how to recognise a perfect square trinomial, identify the values of a and b, verify the middle term, and confidently write the final factorised form as (3x + y)². Every step is broken down visually with clear colour-coded explanations to help you build a strong mathematical foundation. 🧠➕ Whether you are a Class 8, 9, or 10 student revising algebra, preparing for school exams, competitive tests, or just refreshing your basics, this video will help you master factorisation once and for all. We also cover a common mistake students make while taking the square root of coefficients — make sure to watch till the end. ✅ If this helped you, please like, share with your classmates, and subscribe for more mathematics tutorials. #Factorisation #Algebra #Mathematics #PerfectSquare #MathTutorial #LearnMath #CBSE #StudyTips #Class9Maths #Class10Maths #MathsMadeEasy Chapters: 00:00 - Factorise This Expression 00:23 - What Does It Mean to Factorise 00:51 - Studying the Expression 01:19 - Recognising the Perfect Square Pattern 01:46 - Finding the Values of a and b 02:09 - Verifying the Middle Term 02:35 - Applying the Identity 02:55 - The Factorised Answer 03:16 - Verifying by Expanding Back 03:45 - Common Mistakes to Avoid 04:13 - Quick Recap 04:42 - Outro 🔗 Stay Connected: ▶️ YouTube: https://youtube.com/@thecodelucky 📱 Instagram: https://instagram.com/thecodelucky 📘 Facebook: https://facebook.com/codeluckyfb 🌐 Website: https://codelucky.com ⭐ Support us by Liking, Subscribing, and Sharing! 💬 Drop your questions in the comments below 🔔 Hit the notification bell to never miss an update #CodeLucky
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Chapters (12)

Factorise This Expression
0:23 What Does It Mean to Factorise
0:51 Studying the Expression
1:19 Recognising the Perfect Square Pattern
1:46 Finding the Values of a and b
2:09 Verifying the Middle Term
2:35 Applying the Identity
2:55 The Factorised Answer
3:16 Verifying by Expanding Back
3:45 Common Mistakes to Avoid
4:13 Quick Recap
4:42 Outro
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