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Math Help - Expansion

  1. #1
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    Expansion

    Find the specified 5th term in the expansion of :

    (5a+6b)^5
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by thepride View Post
    Find the specified 5th term in the expansion of :

    (5a+6b)^5
    Use the binomial Theorem

    (x+y)^n=\sum_{k=0}^{n}\binom{n}{k}x^{n-k}y^{k}

    Since the binomial theorem starts at k=0 the fifth term will be when k=4

    \binom{5}{4}(5a)^{5-4}(6b)^4=

    Just simplify from here.
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  3. #3
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    Quote Originally Posted by TheEmptySet View Post
    Use the binomial Theorem

    (x+y)^n=\sum_{k=0}^{n}\binom{n}{k}x^{n-k}y^{k}

    Since the binomial theorem starts at k=0 the fifth term will be when k=4

    \binom{5}{4}(5a)^{5-4}(6b)^4=

    Just simplify from here.
    i think the answer is 32400ab^5 thepride
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  4. #4
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    how do i simplify that equation...like what do i do with the 5 and 4 that are on top of each other do i divide??? i answer is useless to me if i don't know how your got it. please show me how you got you answer flexus.
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