for post office information ,latest job,naukari and recruitment and notification, exam, gk, current affairs

Algebraic Identities

Product Formulas: Binomial Formula



displaymath99

The general formula is given by the Binomial Formula:
displaymath101

where
displaymath103
is called the Binomial Coefficient. Recall that the factorial of the natural number n is given by
displaymath107

Putting the stuff together, we get
displaymath109

Note also that we have
displaymath111


Factoring Formulas



displaymath113

which extends to the general formulas (the second formula only works for odd exponents n):
displaymath115

No comments: