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giovkast
 2 years ago
determine the coefficient of x^5 in the expression
(2x3)^8
help pls!!
giovkast
 2 years ago
determine the coefficient of x^5 in the expression (2x3)^8 help pls!!

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mukushla
 2 years ago
Best ResponseYou've already chosen the best response.2going with binomial theorem\[(a+b)^n=\sum_{k=0}^{n} \binom{n}{k} a^k b^{nk}\]and setting a=2x ,b=3 and n=8 ... will be your start point

giovkast
 2 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{k=0}^{8} \left(\begin{matrix}8 \\ 5\end{matrix}\right) 2^5 (3) ^3 x^5\] Is this is?

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.2u just need to evaluate one term of the sum and its where k equals to 5 so just \[ \left(\begin{matrix}8 \\ 5\end{matrix}\right) 2^5 (3) ^3 x^5\]
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