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Math Help - Binomial

  1. #1
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    Binomial

    Binomial expansion -


    (3x-2)^4

    thanks
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  2. #2
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    Quote Originally Posted by gracey View Post
    Binomial expansion -


    (3x-2)^4

    thanks
    Substitute (3x), (-2) and n = 4 into the binomial theorem formula. Where exactly are you stuck?
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  3. #3
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    The binomial theorem:

     (x + y)^n = \displaystyle\sum_{k=0}^{n} \left(\begin{array}{cc}n\\k\end{array}\right) x^{(n-k)} y^k


     \left(\begin{array}{cc}n\\k\end{array}\right) = \dfrac{n!}{k!(n-k)!}


    Just plug the values in and go.
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    Quote Originally Posted by RubyRed View Post
    The binomial theorem:

     (x + y)^n = \displaystyle\sum_{k=0}^{n} \left(\begin{array}{cc}n\\k\end{array}\right) x^{(n-k)} y^k


     \left(\begin{array}{cc}n\\k\end{array}\right) = \dfrac{n!}{k!(n-k)!} Just plug the values in and go.
    I find it more useful to use the symbols A and B since x is often used with a different meaning in questions (like the one posted here) .....

    (A + B)^n = \displaystyle\sum_{k=0}^{n} \left(\begin{array}{cc}n\\k\end{array}\right) A^{(n-k)} B^k.
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