# expansion

• Jun 21st 2011, 05:21 PM
aprinzen
expansion

In the expansion of , (x-3/x^2)^9 find the following:
a) the general term in simplified form
b) the term containing x^6
c) the constant term
• Jun 21st 2011, 05:30 PM
pickslides
Re: expansion
For the expansion of $\displaystyle (x+y)^n$

The general term $T_r$ can be found

$\displaystyle T_{r+1} = ^nC_rx^{n-r}y^r, \forall n\in \mathbb{Z}^+$
• Jun 21st 2011, 05:57 PM
aprinzen
Re: expansion
Where do I get the "r" from?
• Jun 21st 2011, 05:59 PM
pickslides
Re: expansion
It is the 'rth' term, which represents the general term.
• Jun 21st 2011, 06:39 PM
aprinzen
Re: expansion
ok what about determining the term containing x^6?
• Jun 21st 2011, 09:35 PM
mr fantastic
Re: expansion
Quote:

Originally Posted by aprinzen
ok what about determining the term containing x^6?

Have you looked at any examples at all that are similar to your question? Perhaps in your class notes or textbook ....?

Before you can be helped any further, you need to show what you got for the general term. If you cannot get the general term, you need to show what you've tried and where you get stuck.