
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
Given two vectors \(\mathbf{a}\) and \(\mathbf{b}\) such that \(\mathbf{a} \times \mathbf{b} = \begin{pmatrix} -3 \\ 6 \\ 2 \end{pmatrix}\) and \(2\mathbf{a} + 3\mathbf{b}\), calculate \((2\mathbf{a} + 3\mathbf{b}) \times (2\mathbf{a} + 3\mathbf{b})\).

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