%2Fx-simplify.jpeg "(x+1)/x Simplify")
Simplifying the Expression (x+1)/x
The expression (x+1)/x is a simple rational expression that can be simplified by performing some basic algebraic operations. Let's break down the steps:
Understanding the Expression
- Rational expression: A rational expression is a fraction where the numerator and denominator are polynomials. In this case, the numerator is (x+1) and the denominator is x.
- Simplifying: Simplifying a rational expression means rewriting it in its simplest form. This involves finding any common factors in the numerator and denominator and canceling them out.
Steps to Simplify
- Factor the numerator (if possible): In this case, the numerator (x+1) is already in its simplest factored form.
- Identify common factors: There are no common factors between the numerator (x+1) and the denominator (x).
- Cancel common factors: Since there are no common factors, we cannot cancel anything out.
The Simplified Form
Since we couldn't cancel any factors, the expression (x+1)/x is already in its simplest form. It cannot be simplified further.
Important Note: It's crucial to remember that the denominator cannot be zero. Therefore, this simplified expression is valid for all values of x except for x = 0.
In conclusion: The expression (x+1)/x is already in its simplest form and cannot be simplified further. However, it is important to keep in mind that it is only valid for values of x that are not equal to 0.