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

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

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.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: