Question 204826
In order to solve an expansion, you need to use the BINOMIAL EXPANSION FORMULA, which states:  


{{{(a+b)^n=(nCo*a^(n-0)*b^0)+(nC1*a^(n-1)*b^1)}}} -------> {{{(nCn*a^(n-n)*b^n)}}}

{{{(3x+2)^7=(7Co*3x^(7-0)*2^0)+(7C1*3x^(7-1)*2^1)}}} -------> {{{(7C7*3x^(7-7)*2^7)}}}

{{{(3x+2)^7 = 

(7Co*(3x)^(7-0)*2^0)+
(7C1*(3x)^(7-1)*2^1)+
(7C2*(3x)^(7-2)*2^2)+
(7C3*(3x)^(7-3)*2^3)+
(7C4*(3x)^(7-4)*2^4)+
(7C5*(3x)^(7-5)*2^5)+
(7C6*(3x)^(7-6)*2^6)+
(7C7*(3x)^(7-7)*2^7)}}}


This equals: {{{highlight_green(2187x^7+10206x^6+20412x^5+22680x^4+15120x^3+6048x^2+1344x+128)}}}