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Formula:2

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Digital Library of Mathematical Functions ID 1.2.E2

( a + b ) n = a n + ( n 1 ) ⁢ a n - 1 ⁢ b + ( n 2 ) ⁢ a n - 2 ⁢ b 2 + … + ( n n - 1 ) ⁢ a ⁢ b n - 1 + b n . superscript 𝑎 𝑏 𝑛 superscript 𝑎 𝑛 binomial 𝑛 1 superscript 𝑎 𝑛 1 𝑏 binomial 𝑛 2 superscript 𝑎 𝑛 2 superscript 𝑏 2 … binomial 𝑛 𝑛 1 𝑎 superscript 𝑏 𝑛 1 superscript 𝑏 𝑛 {\displaystyle{\displaystyle(a+b)^{n}=a^{n}+\genfrac{(}{)}{0.0pt}{}{n}{1}a^{n-% 1}b+\genfrac{(}{)}{0.0pt}{}{n}{2}a^{n-2}b^{2}+\dots+\genfrac{(}{)}{0.0pt}{}{n}% {n-1}ab^{n-1}+b^{n}.}}


Constraint(s)

Symbols List

  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 11:30.
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