Consider the following expression: 4+(−6)⋅2−(−3)2

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!

bot its not -17

Let’s reevaluate the expression step by step to ensure we simplify it correctly.

The expression is:
\[
4 + (-6) \cdot 2 - (-3)^2
\]

**Step 1: Calculate the multiplication and exponentiation.**

1. \( (-6) \cdot 2 = -12 \)
2. \( (-3)^2 = 9 \)

**Step 2: Substitute these values back into the expression.**

Now we can rewrite the expression:
\[
4 + (-12) - 9
\]

**Step 3: Perform the addition and subtraction.**

1. Start with \( 4 + (-12) \):
\[
4 - 12 = -8
\]

2. Now, subtract \( 9 \):
\[
-8 - 9 = -17
\]

The final result is \(-17\).

If there was a misunderstanding about the expression or if you were looking for a specific part related to the denominator, please clarify, and I’d be happy to assist further!