Simplifying the Expression (x+2)/(x-2)
The expression (x+2)/(x-2) is a rational expression, meaning it's a fraction where the numerator and denominator are polynomials. To simplify it, we need to look for common factors that can be canceled out.
Here's how to simplify the expression:
-
Factor the numerator and denominator: In this case, both the numerator and denominator are already in their simplest factored form.
-
Identify common factors: There are no common factors between (x+2) and (x-2).
-
Cancel out common factors: Since there are no common factors, we cannot cancel anything out.
**Therefore, the simplified form of (x+2)/(x-2) is itself. **
Important Note: While we can't simplify the expression further, we can note that the expression is undefined when x = 2, as this would make the denominator equal to zero.