To simplify the expression you provided, we need to break it down step by step.
The full expression is: \[ 4 + (-6) \cdot 2 - (-3)^2 \]
Let's simplify each part:
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Calculate \((-6) \cdot 2\): \[ (-6) \cdot 2 = -12 \]
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Calculate \((-3)^2\): \[ (-3)^2 = 9 \]
Now we rewrite the entire expression using these calculations: \[ 4 - 12 - 9 \]
Now, perform the operations from left to right:
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Perform \(4 - 12\): \[ 4 - 12 = -8 \]
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Now, perform \(-8 - 9\): \[ -8 - 9 = -17 \]
The final result is: \[ -17 \]
If you are only asked for the simplified denominator, which in this case refers to the overall denominator of the entire expression given that it's already simplified, and since it doesn't involve any division operation, we can conclude that your denominator effectively remains as 1.
Thus, the simplified denominator is 1.