To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), let's first calculate each component step by step.
1. Calculate \( (-6) \cdot 2 \):
\[
(-6) \cdot 2 = -12
\]
2. Calculate \( (-3)^2 \):
\[
(-3)^2 = 9
\]
3. Now, substitute these values back into the expression:
\[
4 + (-12) - 9
\]
4. Simplifying this expression:
- First, calculate \( 4 - 12 \):
\[
4 - 12 = -8
\]
- Now, subtract 9:
\[
-8 - 9 = -17
\]
So the final result of the expression \( 4 + (-6) \cdot 2 - (-3)^2 \) is \( -17 \).
If we consider "denominator" in the context of simplifying an arithmetic expression, it typically does not have a denominator unless it is a fraction. In this case, the expression simplifies to a whole number \( -17 \) without a denominator.
If you meant something else by "simplified denominator," or if you are referencing a different part of the problem, please provide more context for clarification!