## Simplifying the Expression: (m^2n^2 - 7) - (mn + 4)

This expression involves subtracting a binomial (mn + 4) from a binomial (m^2n^2 - 7). To simplify this, we can follow these steps:

**1. Distribute the negative sign:**

The minus sign before the parentheses means we multiply each term inside the second parentheses by -1.

(m^2n^2 - 7) + (-1 * mn) + (-1 * 4)

**2. Simplify:**

This gives us:

m^2n^2 - 7 - mn - 4

**3. Combine like terms:**

We can only combine terms that have the same variables and exponents. In this case, we can combine the constants:

**m^2n^2 - mn - 11**

**Final answer:** The simplified expression is **m^2n^2 - mn - 11**.