Binomial theorem

Binomial theorem

Keywords: Binomial theorem

( a + b ) n = ( n 0 ) a n b 0 + ( n 1 ) a n 1 b 1 + ( n 2 ) a n 2 b 2 + . . . + ( n n 1 ) a b n 1 + ( n n ) a 0 b n = k = 0 n ( n k ) a n k b k

Coefficients:

( n k ) = n ! k ! ( n k ) !