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Math Help - Binomial exapnsion help

  1. #1
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    Binomial exapnsion help

    Hi
    I am trying to establish how the 1/4(x) becomes 1/10 in the expansion at the bottom
    thanks

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  2. #2
    Senior Member MacstersUndead's Avatar
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    is this formula familiar?


    Also, for the 9th degree, the coefficients are accordingly the 10th line of Pascal's triangle.
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  3. #3
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    Hi
    No, doesnt help at all
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  4. #4
    Senior Member MacstersUndead's Avatar
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    Alright, think of binomial expansions like this. Let k be the counter, and n your exponent in (x+y)^n x = 2 and y = (1/4)x

    When k = 0, then x^(n-k) y^k = x^n, specifically 2^9. The coefficient is 1.

    and so on. (The first three numbers on the 10th line are 1, 9, 37)
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