Ения: (a ^ 2 + ax)/x / ((ax)/(x ^ 2))

To simplify the given expression, let's start by canceling out common terms and simplifying:

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

First, let's convert the division sign to multiplication by taking the reciprocal of the second fraction:

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

Next, we can cancel out common factors between the numerators and denominators:

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

At this point, we can simplify further by canceling out common factors:

(a + x)/(a) * (x^2)/(x)

Now, we can simplify even further by canceling out common factors and multiplying the remaining terms:

(a + x)/(1) * (x)/(1)

Simplifying this expression further gives us the final result:

(a + x) * x

Therefore, the simplified expression is (a + x) * x.