Tuesday, June 16, 2009

Binomial Theorem.. the expansion of a series

In Mathematics, the binomial theorem is an important formula giving the expansion of powers of sums and its simplest formula is as follows -
For any value of n, whether positive, negative, integer or non-integer, the value of the nth power of a binomial is given by:
(a+b) power n = a power n + na power n-1xb + n(n-1)/2 a power n-2 x b power 2 +.......+ b power n
By this formula , any series can be expanded.
This formula is given by the Blaise PAscal who described that in 17th century but The work on the formula had been started before Pascal gave it to the world.
Now try to expand the (x+y) power 10 by this formula.

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