Not true. The expansion will have one more term.
The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]
The binomial expansion is the expanded form of the algebraic expression of the form (a + b)^n.There are slightly different versions of Pascal's triangle, but assuming the first row is "1 1", then for positive integer values of n, the expansion of (a+b)^n uses the nth row of Pascals triangle. If the terms in the nth row are p1, p2, p3, ... p(n+1) then the binomial expansion isp1*a^n + p2*a^(n-1)*b + p3*a^(n-2)*b^2 + ... + pr*a^(n+1-r)*b^(r-1) + ... + pn*a*b^(n-1) + p(n+1)*b^n
You have to multiply each term in the first binomial, by each term in the second binomial, and add the results. The final result is usually a trinomial.
binomial
Consider a binomial (a+b). The cube of the binomial is given as =(a+b)3 =a3 + 3a2b + 3ab2 + b3.
Binomial Theorum
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
9! ~
The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)where nCr = n!/[r!*(n-r)!]
First i will explain the binomial expansion
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
The binomial expansion is valid for n less than 1.
Sounds pretty sexy, eh? See link. http://en.wikipedia.org/wiki/Binomial_expansion
The first two terms in a binomial expansion that aren't 0
1000
They must be even.
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.