Difference between revisions of "Binomial theorem"

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(Created page with "==Theorem== The following formula holds: $$(a+b)^n = \displaystyle\sum_{k=0}^n {n \choose k} a^k b^{n-k},$$ where ${n \choose k}$ denotes the binomial coefficient ==Proof...")
 
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==References==
 
==References==
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* {{BookReference|Handbook of mathematical functions with formulas, graphs, and mathematical tables|1964|Milton Abramowitz|next=Binomial coefficient}}: 3.1.1

Revision as of 02:30, 4 June 2016

Theorem

The following formula holds: $$(a+b)^n = \displaystyle\sum_{k=0}^n {n \choose k} a^k b^{n-k},$$ where ${n \choose k}$ denotes the binomial coefficient

Proof

References