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.