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Math Help - need help expanding

  1. #1
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    need help expanding

    Can someone please help me expand this, (x-2)^(k+1).
    Thanks for the help
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Hi

    You can use the binomial theorem : (a+b)^n=\sum_{i=0}^n\binom{n}{i}a^i\times b^{n-i}
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by cowboys111 View Post
    Can someone please help me expand this, (x-2)^(k+1).
    Thanks for the help
    (a + b)^{m} = \sum_{i = 0}^m {m \choose {m - i}}a^{m - i}b^i

    So
    (x - 2)^{k+1} = \sum_{i = 0}^{k + 1} {{k + 1} \choose {k + 1 - i}}x^{k + 1 - i}(-2)^i

    -Dan
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