what is Binomial Theorem? pls. explain
Asked by A M
| 24th Aug, 2010,
08:03: PM
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.
Binomial expression: An algebraic expression consisting of two terms with a positive or negative sign between them is called a binomial expression.
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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