# 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 :**

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 :**