Binomials

Binomial Numbers


A binomial number is a number in the form of  the binomial form of a number in algebra math. These binomial numbers can be factored algebraically:

the algebraically factored form of a binomial number

Binomial Theorem

 

1.The general formula for binomials with n and r positive integers and r<n,is:

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math binomial theorem  algebra


where,       maths combinations algebra formula    and    factorial of a number algebra formula in maths


2.Binomial Coefficients Summation Formulas:

amaths binomial coefficient summation formula

b. math binomial coefficient summation formula

 

3.Next if n is a rational number and (-1)<x<1:

binomial theorem at rational powers formula maths