Simplify

x^2 - xy + 2x/2x

To simplify the expression (x^2 - xy + 2x) / (2x), we can follow these steps:

Step 1: Factor out the common terms.
In the numerator, there are three terms: x^2, -xy, and 2x. Notice that each term has a factor of x. Let's factor out the x to get: x(x - y + 2) / (2x).

Step 2: Cancel out common factors.
In the numerator, we have x(x - y + 2). In the denominator, we have 2x. Notice that there is a common factor of x in both the numerator and the denominator. We can cancel out this common factor to simplify: (x - y + 2) / 2.

Therefore, the simplified expression is (x - y + 2) / 2.