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Math Help - binomial expansion from Engineering Mathematics by Stroud

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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.
    Attached Files Attached Files
    Last edited by ronanbreslin; August 27th 2011 at 04:11 PM. Reason: word equation has been discovered
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    Re: binomial expansion from Engineering Mathematics by Stroud

    Quote Originally Posted by ronanbreslin View Post
    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 \Sigma

    For a summation; [TEX]\sum\limits_{k = 0}^n \binom{n}{k}[/TEX] gives \sum\limits_{k = 0}^n \binom{n}{k}.
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    Re: binomial expansion from Engineering Mathematics by Stroud

    Quote Originally Posted by ronanbreslin View Post
    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 3^n = (1 + 2)^n, now apply the Binomial expansion.
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    Re: binomial expansion from Engineering Mathematics by Stroud

    Thanks very much. Will do that.
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