How would I expand this? :/
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How would I expand this? :/(1+x+x^2) ^1/2
The question says expand as a series so I assumed it means using the binomial expansion for fractional powers, I'v attempted it, but I know its wrong, and I may sound stupid, but I'v never used binomial when there is three terms in the bracket! Lol any help will be appriciated
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Re: How would I expand this? :/Expand(Original post by Aneesa.x)
(1+x+x^2) ^1/2
The question says expand as a series so I assumed it means using the binomial expansion for fractional powers, I'v attempted it, but I know its wrong, and I may sound stupid, but I'v never used binomial when there is three terms in the bracket! Lol any help will be appriciated
This was posted from The Student Room's iPhone/iPad App![[ 1 + (x+x^2)]^{\frac12}](http://www.thestudentroom.co.uk/latexrender/pictures/9d/9d45e016fbab570537378599580067b5.png "[ 1 + (x+x^2)]^{\frac12}")
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Re: How would I expand this? :/(Original post by Aneesa.x)
That's what I done, I get the wrong answer :/
Could you show me some steps? Maybe I'v gone wrong in my working somewhere..
This was posted from The Student Room's iPhone/iPad App![\displaystyle [1+(x+x^2)]^{\frac12} = 1 + \frac12 (x+x^2) + \frac{\frac12 \left( \frac12 - 1 \right) }{2!} (x+x^2)^2 + \ldots](http://www.thestudentroom.co.uk/latexrender/pictures/8d/8d03b4c7130346665de84634122626f4.png "\displaystyle [1+(x+x^2)]^{\frac12} = 1 + \frac12 (x+x^2) + \frac{\frac12 \left( \frac12 - 1 \right) }{2!} (x+x^2)^2 + \ldots")
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Re: How would I expand this? :/Post your working.(Original post by Aneesa.x)
That's what I done, I get the wrong answer :/
Could you show me some steps? Maybe I'v gone wrong in my working somewhere.. -
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Re: How would I expand this? :/I don't understand this at all, is it C2 level stuff?
Because in C2 you never do binomial to the power of a 1/2.
Can someone show me how you do a binomial expansion to the power of a 1/2 please?
Last edited by violetheart; 03-06-2012 at 17:36. -
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Re: How would I expand this? :/It is C3(Original post by violetheart)
I don't understand this at all, is it C2 level stuff?
Because in C2 you never do stuff to the power of a 1/2.
Can someone show me how you do a binomial expansion to the power of a 1/2 please?
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Re: How would I expand this? :/(Original post by violetheart)
I don't understand this at all, is it C2 level stuff?
Because in C2 you never do binomial to the power of a 1/2.
Can someone show me how you do a binomial expansion to the power of a 1/2 please?
In edexcel it is C4.(Original post by TenOfThem)
It is C3 -
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There is a different formula for binomial expansions with fraction or negative powers, don't worry about it yet if you're doing C2(Original post by violetheart)
I don't understand this at all, is it C2 level stuff?
Because in C2 you never do stuff to the power of a 1/2.
Can someone show me how you do a binomial expansion to the power of a 1/2 please?
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Re: How would I expand this? :/Maybe C4 then(Original post by raheem94)
In edexcel it is C4.
