# Complex Variables and Binomial Theorem

• December 26th 2011, 10:15 AM
flametag2
Complex Variables and Binomial Theorem
I need to solve $(2-i)^5$ using Binomail Theorem which is $(z+v)^n = \sum_{j=o}^{n}\binom{n}{j} z^{n-j}v^j$

Now here z = 2, n = 5 and will v = -1 or $-i$

Thank you
• December 26th 2011, 11:07 AM
Plato
Re: Complex Variables and Binomial Theorem
Quote:

Originally Posted by flametag2
I need to solve $(2-i)^5$ using Binomail Theorem which is $(z+v)^n = \sum_{j=o}^{n}\binom{n}{j} z^{n-j}v^j$

Now here z = 2, n = 5 and will v = -1 or $-i$

Then why don't you do that? EXPAND
$\sum_{j=0}^{5}\binom{5}{j} (2)^{n-j}(-i)^j$