Question

Consider the expression x+6 3^2−(2⋅3)+5
. What is the simplified denominator? (1 point)
Responses

56
56

−2
negative 2

26
26

8

Answer 1

To simplify the expression \( x + 6 \cdot 3^2 - (2 \cdot 3) + 5 \), we first need to calculate the numeric components of the expression:

1. Calculate \( 3^2 \):
\[
3^2 = 9
\]

2. Calculate \( 6 \cdot 3^2 \):
\[
6 \cdot 9 = 54
\]

3. Calculate \( 2 \cdot 3 \):
\[
2 \cdot 3 = 6
\]

Now we can substitute these values back into the expression:
\[
x + 54 - 6 + 5
\]

Next, simplify the numeric part:
\[
54 - 6 + 5 = 48 + 5 = 53
\]

Thus, the expression simplifies to:
\[
x + 53
\]

If we are looking for a denominator, it seems there may be a missing context about the denominator since the expression as it stands does not appear to have one. It's simply a polynomial expression. If this is part of a larger equation or context (for instance, a fraction), please provide that context for further clarification.

Given the answers provided, based on only the given expression without additional context, it appears there is no simplified denominator; hence none of the response options are applicable.

However, if you are looking for potential denominators related to the given options, we cannot derive a specific one from the expression \( x + 53 \) alone. If you meant to find a numeric result as if it had been divided by something, please provide more details!