To clarify, the given function can be written as:

$F(x) = \frac{x^2 - 1}{x}$

We can simplify this by breaking up the terms:

$F(x) = \frac{x^2}{x} - \frac{1}{x}$

$F(x) = x - \frac{1}{x}$

This is the simplified form of the function $F(x)$.

Would you like me to proceed with further analysis of this function, such as finding its derivative or other properties?

Relative Questions:

1. What is the derivative of $F(x) = x - \frac{1}{x}$?
2. What are the critical points of $F(x)$?
3. How would you find the vertical and horizontal asymptotes of $F(x)$?
4. What is the domain of $F(x) = x - \frac{1}{x}$?
5. What is the integral of $F(x) = x - \frac{1}{x}$?

Tip:

When simplifying expressions involving fractions, always look for ways to break them down into simpler terms by separating the numerators and denominators if possible.