# binomial expansion from Engineering Mathematics by Stroud

• Aug 27th 2011, 03:50 PM
ronanbreslin
binomial expansion from Engineering Mathematics by Stroud
I am an an Art School lecturer who studied engineering many years ago. I am now re-acquainting myself with the wonderful world of maths in order to develop projects in ambisonic sound. Working my way through the above book but stumped on a basic binomial expansion problem that has no solution apparent in the book.

show that (how do I insert mathematical symbols?) ∑ - well I got that but how do I do the rest (powers etc.)? Oh well, this request help is stumped until some kind person reveals to me how to easily represent maths symbols on this forum.Please help a poor art school lecturer engage with the real art of mathematics ;-)
Please see attachment, not sure yet how to insert this into post. Ta much to all of you who have a look.
• Aug 27th 2011, 04:03 PM
Plato
Re: binomial expansion from Engineering Mathematics by Stroud
Quote:

Originally Posted by ronanbreslin
show that (how do I insert mathematical symbols?) ∑ - well I got that but how do I do the rest (powers etc.)? Oh well, this request help is stumped until some kind person reveals to me how to easily represent maths symbols on this forum.Please help a poor art school lecturer engage with the real art of mathematics ;-)

Use LaTeX code.
[TEX]\Sigma[/TEX] gives $\displaystyle \Sigma$

For a summation; [TEX]\sum\limits_{k = 0}^n \binom{n}{k}[/TEX] gives $\displaystyle \sum\limits_{k = 0}^n \binom{n}{k}$.
• Aug 27th 2011, 07:26 PM
Prove It
Re: binomial expansion from Engineering Mathematics by Stroud
Quote:

Originally Posted by ronanbreslin
I am an an Art School lecturer who studied engineering many years ago. I am now re-acquainting myself with the wonderful world of maths in order to develop projects in ambisonic sound. Working my way through the above book but stumped on a basic binomial expansion problem that has no solution apparent in the book.

show that (how do I insert mathematical symbols?) ∑ - well I got that but how do I do the rest (powers etc.)? Oh well, this request help is stumped until some kind person reveals to me how to easily represent maths symbols on this forum.Please help a poor art school lecturer engage with the real art of mathematics ;-)
Please see attachment, not sure yet how to insert this into post. Ta much to all of you who have a look.

$\displaystyle \displaystyle 3^n = (1 + 2)^n$, now apply the Binomial expansion.
• Aug 28th 2011, 06:15 AM
ronanbreslin
Re: binomial expansion from Engineering Mathematics by Stroud
Thanks very much. Will do that.