Question

What is the binomial expansion of ( x + 4 )^3

Answer 1

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.

Answer 2

Expand the binomial. (x + 4)^3

(x + 4)^3 = (x + 4)(x + 4)(x + 4)

The binomial expansion is: (x + 4)(x + 4)(x + 4)

hope this helps