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Math Help - calculating the terms of a binomial expression

  1. #1
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    calculating the terms of a binomial expression

    hello i have not done maths in a long time and need some help after a while reading some books and solving a few equations i have got stuck on the binomial expression (1+x)^1/2 i am trying to solve the first 5 terms.
    i have expanded it i have no problems with that but my calculations to simplify the longer terms is a bit rusty i no the 4th term of the expression is:

    + (1/2)(1/2-1)(1/2-2)(x)^3 = i think 1/16x^3
    3!

    i have come up with this answer by looking at lots of examples and reading but i do not know if i am correct as i do not understand how to calculate or simplify the long term once i understand the basics of how a=b i will be able to solve more

    please help me thanks olie
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  2. #2
    Super Member Quacky's Avatar
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    Re: calculating the terms of a binomial expression

    Yeah, that's fine.
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  3. #3
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    Re: calculating the terms of a binomial expression

    Yeah i thought that was correct but I would like to understand how to calculate the long term into the shortened term when I calculate it I do not get the shortened term if possible could someone demonstrate the calculation how (1/2)(1/2-1)(1/2-2)(x)^3 = 1/16x^3. Thanks olie 3!
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  4. #4
    Super Member Quacky's Avatar
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    Re: calculating the terms of a binomial expression

    We have:

    \frac{\frac{1}{2}\cdot\frac{-1}{2}\cdot\frac{-3}{2}x^3}{3!}

    =\frac{\frac{3}{8}x^3}{3\times{2}\times{1}}

    =\frac{\frac{3}{8}x^3}{6}

    =\frac{1}{16}x^3
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  5. #5
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    Re: calculating the terms of a binomial expression

    thankyou so much i understand fully now it was the dividing by 3! that threw me off the target thanks again olie
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