# Math Help - Binomial Theorem

1. ## Binomial Theorem

Use a binomial expansion to simplify:
(nc0)-(nc1)+(nc2)-(nc3)+...+(-1)^n (ncn)

I did this question and came up with an answer which is (1-0)^n

is that wrong?

any help would be greatly appreciated.

2. Originally Posted by Solid8Snake
Use a binomial expansion to simplify:
(nc0)-(nc1)+(nc2)-(nc3)+...+(-1)^n (ncn)

I did this question and came up with an answer which is (1-0)^n
You have told us before in another posting that you do not understand the $\Sigma$ notation in connection with these problems.
Frankly, I cannot imagine a more irresponsible example of poor teaching.
You ought to complain to you educational authority.

$\left( {x + y} \right)^n = \sum\limits_{k = 0}^n {_n C_k~ x^{n- k} y^{n} }$.
In that equation let $x=1~\&~y=-1$