College

Which of the following expressions is equal to [tex]$x^3 - x^3$[/tex]?

A. [tex]$2x^6$[/tex]
B. [tex]$2x^3$[/tex]
C. [tex]$x^9$[/tex]
D. [tex]$x^6$[/tex]

Answer :

Certainly! Let's solve the expression step by step.

We are asked to find which expression is equal to [tex]\(x^3 - x^3\)[/tex].

1. Understand the Expression:

The expression [tex]\(x^3 - x^3\)[/tex] involves subtracting [tex]\(x^3\)[/tex] from itself.

2. Perform the Subtraction:

When you subtract any number or variable from itself, the result is always zero. So, [tex]\(x^3 - x^3 = 0\)[/tex].

3. Compare with Given Options:

The options we have are:
- [tex]\(2x^6\)[/tex]
- [tex]\(2x^3\)[/tex]
- [tex]\(x^9\)[/tex]
- [tex]\(x^6\)[/tex]

None of these options equal zero, which is the result of [tex]\(x^3 - x^3\)[/tex].

Therefore, none of the provided expression options equal [tex]\(x^3 - x^3\)[/tex], because that expression evaluates to 0.