what is Binomial Theorem? pls. explain

Asked by A M | 24th Aug, 2010, 08:03: PM

Expert Answer:

Binomial expression:  An algebraic expression consisting of two terms with a positive or negative sign between them is called a binomial expression.

 Example: (a+b)

 Binomial Theorem: When a binomial expression is raised to a power ‘n’ we would like to be able to expand it. The binomial theorem assists us in doing this. It converts such an expression into a series.

 Binomial Theorem for positive integral index:

 (x+y)n = xn  +  nC1xn-1y + nC2xn-2y2 + - - - -- + nCrxn-ryr +  - - - - -- - + - - - - -- -- - + nCn-1xyn-1   + nCnyn.

where nCr = n!/(n-r)!r!

Regards,

Team,

TopperLearning.

Answered by  | 25th Aug, 2010, 11:29: AM

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