What is the cube of the difference of 40 and a number

(40-y) ^3

Step-by-step explanation:

Make the unknown y

(40-y) ^3

The difference can be expressed as

y=x³+120x²-4800x+64000

Or

y = (40-x) ³

Step-by-step explanation:

Step one

To solve the problem problem let us first initialize the number to be x

By breaking the statement into component parts and implementing

Step two

1. The difference between 40 and the number

= (40-x)

2. The cube of the difference

= (40-x) ³

Let us equate the expression to y

y = (40-x) ³

Step three

Expanding the expression we have

y = (40-x) (40-x) (40-x)

Opening bracket we have

y = (1600-40x-40x+x²) (40-x)

y=64000-1600x-

1600x+40x²-1600x+40x²+40x²-x³

y=x³+120x²-4800x+64000