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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Made a page about the Binomial Theorem

Critiques welcome.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

Hi MathsisFun;

Well done, would like to see you mention Sir Isaac Newton.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Ah yes,the general version. What would you suggest writing? It may need a whole page on its own.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

Hi MathsisFun;

Just a brief paragraph mentioning that Newton is credited with the discovery should do it.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**soroban****Member**- Registered: 2007-03-09
- Posts: 451

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

That is a cool trick.

It also applies to the C=6 term: C = 1*6/(0+1) = 6

So there must be a general rule for generating any row of Pascal's Triangle ...

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

I have reworked the page, including more examples at the end.

Would appreciate your thoughts, guys: Binomial Theorem

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,636

Hi MathsisFun;

Nice derivation of the Taylor series for e at the bottom. Thanks for the page.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Thanks bobby!

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

Looks really spiffy!!!

**igloo** **myrtilles** **fourmis**

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