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 :