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When we expand (2x+4)^6, what is the coefficient on the x^4 term?

 Sep 4, 2021
 #1
avatar+12224 
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When we expand (2x+4)^6, what is (2x+4)^6?

 

Hello Guest!

 

\((2x+4)^6\\ =64x^6+768x^5+{\color{blue}3840x^4}+10240x^3+15360x^2+12288x+4096\)

 

The coefficient on the x^4 term is 3840.

laugh  !

 Sep 4, 2021
 #2
avatar+2205 
+2

Nice solution. :))

Another method to use would be the binomial theorem. 

(2x)^4*(4)^2*6C4 = 3840x^4

 

=^._.^=

catmg  Sep 4, 2021

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