Why Pascal’s Triangle Appears in the Binomial Expansion | Unlocking the Binomial #2

Описание к видео Why Pascal’s Triangle Appears in the Binomial Expansion | Unlocking the Binomial #2

We are often told that we can use the pascal's triangle as a reference to figure out the coefficients of the binomial theorem, but this is never explicitly explained to us, and hence we often shelf it and forget about it. This video attempts to delve into this question and establish this hidden relationship, and answer why the pascal's triangle is encoded within the binomial theorem.

Timestamps:

Introduction - 00:00
Pascal's triangle and the relation - 00:08
Working backwards - 02:42
A specific example - 03:56
Building a triangle - 07:44
Conclusion - 11:03





#math #binomial_theorem #algebra #combinatorics #pascalstriangle #triangle #mathematics

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