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

 Sep 4, 2021
 #1
avatar+15068 
+2

When we expand (2x+4)^6, what is (2x+4)^6?

 

Hello Guest!

 

(2x+4)6=64x6+768x5+3840x4+10240x3+15360x2+12288x+4096

 

The coefficient on the x^4 term is 3840.

laugh  !

 Sep 4, 2021
 #2
avatar+2407 
+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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