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Binomial Expansion Explained

LogicField

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Binomial Expansion Explained

25 просмотров · 10 дней назад
LogicField
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25 просмотров · 10 дней назад
In this video, we learn Binomial Expansion in Hindi, step by step. We start with the expansions of (a+b)^1, (a+b)^2 and (a+b)^3. Then we work out how to find the coefficient of any term in (a+b)^n using combinations (nCk). You'll see why the formula n!/((n-k)! k!) works, including the over-counting idea. Useful for Class 11, Class 12, JEE, and board exam preparation. 👍 Like, share and subscribe for more maths concepts in Hindi. 💬 Comment below if you have any doubts. 0:00 Introduction: What is Binomial Expansion? 0:06 Expansion of (a+b)^1 and (a+b)^2 0:37 Expansion of (a+b)^3 1:30 How to find the coefficient? 1:36 General term of (a+b)^n 2:05 Choosing a or b from each bracket 2:20 Ways to choose: n, n-1, n-2… 3:10 Deriving n!/(n-k)! 3:34 Over-counting: why we divide 4:20 Arrangements of repeated choices (K = 3 example) 4:50 Final formula: nCk (check this one against the end of the video)