It is especially useful in converting negative or fractional exponents into ordinary algebraic expressions from which the leading-order dependence may be determined.  It can be written in the form "(n choose r) times a to the n minus r, times b to the r.  Newton stated it in general form in 1676, an
It is especially useful in converting negative or fractional exponents into ordinary algebraic expressions from which the leading-order dependence may be determined.  It can be written in the form "(n choose r) times a to the n minus r, times b to the r.  Newton stated it in general form in 1676, and Bernoulli's later proof of it was published in 1713.  It is often connected to Pascal's triangle, in which you can quickly look up the coefficients of any term in an expansion.  FTP, name this theorem that allows for the expansion of its namesake algebraic expression without requiring the explicit multiplication of the binomial terms.
It is especially useful in converting negative or fractional exponents into ordinary algebraic expressions from which the leading-order dependence may be determined.  
Binomial theorem