To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), let's first calculate each component step by step.
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Calculate \( (-6) \cdot 2 \): \[ (-6) \cdot 2 = -12 \]
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Calculate \( (-3)^2 \): \[ (-3)^2 = 9 \]
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Now, substitute these values back into the expression: \[ 4 + (-12) - 9 \]
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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!