When we expand (2x+4)^6, what is the coefficient on the x^4 term?
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.
!
Nice solution. :))
Another method to use would be the binomial theorem.
(2x)^4*(4)^2*6C4 = 3840x^4
=^._.^=