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

. What is the simplified denominator?(1 point)

1 answer

To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), we can follow the order of operations (PEMDAS/BODMAS):

  1. Calculate the product: \(-6 \cdot 2 = -12\)

  2. Calculate the exponent: \((-3)^2 = 9\)

Now we can substitute these values back into the expression: \[ 4 + (-12) - 9 \]

  1. Combine the terms:
    • First, combine \(4 + (-12)\): \[ 4 - 12 = -8 \]
    • Then subtract \(9\): \[ -8 - 9 = -17 \]

So, the final simplified expression is \(-17\).

Since the question asks for the simplified denominator but only gives an expression without any fraction, we assume you are looking for the value obtained after simplifying the expression as a whole rather than a specific denominator from a fraction.

Therefore, the final answer is: \[ \text{Simplified expression: } -17 \]

If the expression was intended to represent some type of fraction, please clarify for further assistance!