(a ^ 2 + ax)/x :((ax)/(x ^ 2))

To simplify the expression (a^2 + ax) / x : ((ax) / (x^2)), we need to follow these steps:

1. Remove the division by x from the numerator, and move it to the denominator by multiplying the numerator by (1/x). This gives you: (a^2 + ax) * (1/x) : ((ax) / (x^2))

2. Next, simplify the denominator by removing the division by x^2. Multiply the denominator by (1/(x^2)), which gives you: (a^2 + ax) * (1/x) : ((ax) * (1/(x^2)))

3. Simplify the expression within the numerator and denominator by canceling out the common factors. The common factor in the numerator is x, and the common factor in the denominator is ax. Canceling them out, we get: (a^2 + ax) * (1/(ax))

4. Therefore, the simplified expression is: (a^2 + ax) / (ax)