Question

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

Answer 1

Answer:

$x^3-x^2.$

Step-by-step 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 $x^3-x^2$.