Binomial Theorem

Jun 16, 2020, 16:45 IST

Binomial Theorem

Definition :-Binomial Theorem, in algebra, focuses on the expansion of exponents or powers on a binomial expression. This theorem was given by newton where he explains the expansion of binomial-theorem for different values of n.

Formula description :-
• If x, y &insin; R and n &insin; N,then the binomial theorem states that
binomial-theorem

which can be written as binomial-theorem . This is also called as the binomial theorem formula.

Example 1 :-Find the 7th term ofbinomial-theorem

Solution :-binomial-theorem

Example 2 :-Using the binomial theoram, expandbinomial-theorem

Solution :-
In using the binomial formula, we let
a = x, b = 2, and n = 6.

Substituting in the binomial formula, we get :binomial-theorem

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