
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A large rectangle has side lengths of $(2x+9)$ and $(x+6)$. Within this large rectangle, there is a square hole with side length $(x-1)$. What is the area of the large rectangle excluding the area of the square hole? Express your answer as a polynomial in $x$.

Present the answer in LaTex format: \boxed{Your answer}
user