Which expression best represents the difference between triple a number and double a number?

Responses
A 3(x - 2x)3(x - 2x)
B x2
- x3
x 2 - x 3
C 3x - 2x3x - 2x
D 2x - 3x2x - 3x
E x3
- x2

hi

or 3x-2x

To find the expression that represents the difference between triple a number and double a number, you need to understand the operations involved.

The given options are:

A) 3(x - 2x)3(x - 2x)
B) x^2 - x^3
C) 3x - 2x3x - 2x
D) 2x - 3x2x - 3x
E) x^3 - x^2

Let's break down each option and determine which one represents the difference between triple a number and double a number:

A) 3(x - 2x)3(x - 2x)
- This expression involves the subtraction of double a number from triple a number twice. This does not represent the difference between triple a number and double a number.

B) x^2 - x^3
- This expression represents the difference between the square of a number and the cube of the same number. It does not represent the difference between triple a number and double a number.

C) 3x - 2x3x - 2x
- This expression represents the difference between triple a number and double a number. The terms 3x and 2x represent triple a number and double a number respectively, and subtracting one from the other gives the difference.

D) 2x - 3x2x - 3x
- This expression is similar to option C, but the order of subtraction is reversed. It does not represent the difference between triple a number and double a number.

E) x^3 - x^2
- This expression is the same as option B. It represents the difference between the square of a number and the cube of that number, not the difference between triple a number and double a number.

Therefore, the expression that best represents the difference between triple a number and double a number is option C: 3x - 2x.