When we expand $(a + b)^2$, I get three items $a^2$, $2ab$ and $b^2$. In general expand $(a + b)^n$, we get $n+1$ items. Why $(a+b)^n$ is called Newton's binomial?
Why $(a+b)^n$ is called Newton's binomial?
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combinatorics
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0Is it called just "Newton's binomial", or is it called "Newton's binomial theorem" or "Newton's binomial expansion" or something like that? There's a difference, as you can see. – 2017-01-12
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0$(a+b)$ is two terms, it is binomial before you multiply it out. – 2017-01-12
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0Note. It's called Khayyam-Newton binomial expansion. – 2017-01-12
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I've never heard it called that, but I assume it's because Newton is credited with the proof of the generalized binomial theorem.