Question 1029816
The coefficients of a binomial expansion such as this can be found using Pascal's Triangle:
1
11
121
1331
14641
Here is the group for n=4 power...
Now when you expand a binomial, the powers of the first term go from four to zero, and the powers of the second term go from zero to four...so that
{{{(2 + x)^4 = 1*2^4 + 4*2^3x + 6*2^2x^2 + 4*2^1x^3 + 1*x^4}}}=
{{{16 + 32x + 24x^2 + 8x^3 + x^4}}}
So the coefficient of the x^2 term is 24.