Question

translate phrases into algebraic expressions, the difference between the cube of a number and the square of the number

Answer 1

`x^3-x^2.`

Explanation:

The word "difference" represents a subtraction. Then the algebraic expression will be of the form a-b.

Now, the difference is between the cube of a number and the square of the number, then let's call the number x. The square of the number is raise to two. Then the square of the number is
`x^2`.

The cube of the number is raise to three. Then the cube of the number is
`x^3`.

So, the difference between the cube of a number and the square of the number (we are talking about the same number in the square and the cube) is
`x^3-x^2`.