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.
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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)