Question

Which of the following options represents the algebraic expression for "3 is subtracted from the cube of a number, where the number is x"?

A) x^3 - 3
B) 3 - x^3
C) 3x^3
D) x^3 + 3

Answer 1

The algebraic expression for "3 is subtracted from the cube of a number, where the number is x" is represented by option B) 3 - x³.

Step-by-step explanation:

The algebraic expression for "3 is subtracted from the cube of a number, where the number is x" is represented by option B) 3 - x³.

To understand this, we start with the cube of the number x, which is represented by x³. Then, we subtract 3 from that. So, the expression is x³ - 3.

For example, if x = 2, the expression becomes 2³ - 3 = 8 - 3 = 5. Therefore, this representation accurately illustrates the mathematical operation of subtracting 3 from the cube of a given number x.