SOLUTION: Find the coefficient of x^6 in the expansion of (2x-3)^9

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Question 1181279: Find the coefficient of x^6 in the expansion of (2x-3)^9

Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
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Find the coefficient of x^6 in the expansion of (2x-3)^9
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The binomial expansion is this formula


     =  +  +  +  + . . . +  + 


In our case,  n = 9,  a = 2x,  b = -3.  Therefore, the general term of the binomial expansion in our case is  


    , k = 0, 1, 2, 3, 4, 5, . . . 


Then the term with  x^6  is the fourth term of the expansion at k = 3 


     =  = .    ANSWER

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The referred lesson is the part of this textbook under the topic
"Binomial expansion, binomial coefficients, Pascal's triangle".


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