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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.

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 $\displaystyle \sum\limits_{k = 0}^n \binom{n}{k}$.

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.

Re: binomial expansion from Engineering Mathematics by Stroud

Thanks very much. Will do that.