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the coefficient of x in (x-4/x)^7

Guest Aug 11, 2017
edited by Guest  Aug 11, 2017
 #1
avatar+86859 
+1

 

 (x-4/x)^7

 

Here's the expansion

 

x^7 - 16384/x^7 - 28 x^5 + 28672/x^5 + 336 x^3 - 21504/x^3 - 2240 x + 8960/x

 

The coefficient on the x term is  -2240

 

It is determined thusly :

 

 C (7, 3) * ( x)^4 * (- 4/ x)^3    =  35 * x^4 * (-4)^3 / x^3   =  (35) *( - 64)  *  x^4 / x^3  =   ( -2240 ) x

 

 

 

 

cool cool cool 

CPhill  Aug 11, 2017

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