Factorise 9x^2 + 6xy + y^2 | Perfect Square Identity Explained Step-by-Step
Skills:
ML Maths Basics90%
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. ✅
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#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
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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
🎓
Tutor Explanation
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