Maths important formula - BINOMIAL THEOREM

BINOMIAL THEOREM

1.Statement of Binomial Theorem:

if 

2. Properties of Binomial Theorem:

i. General term :

         

ii. middle term(s):

a. if n is even, there is only one middle term which is term.

b. if n is odd, there are two middle terms which are and  term

 

 

3.Multinomial Theorem :

Multinomial Theorem :

Here total number of terms in the expansions = 

4. Application of Binomial Theorem:

if where I and n are positive intergers, n beign odd and 0 < f <1 then 

if n is an even integer, then (I+f)(I - f )= k^n

 

5. Properties of Binomial Coefficients :

 Properties of Binomial Coefficients

 

 

Post By : Preeti Rai 13 Apr, 2020 390 views Maths