One way of doing this problem would be to apply Pascal's Triangle to find the coefficients of the x terms. This being a 3rd degree poly, we'll need four such coefficients:
1
1 1
1 2 1
1 3 3 1 <=This is the row of Pascal's Triangle that applies here.
Using these four coefficients, we get:
(1)x^3 + (3)x^2[4] + (3)x[4^2] + (1)[4^3], which simplifies to
x^3 + 12x^2 + 48x + 64.
You could, of course, also multiply out (x+4)(x+4)(x+4). The answer will be the same.
