
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
Evaluate the expression: $\left(\frac{(x+2)^{3}(x^{2}-2x+2)^{3}}{(x^{3}+8)^{3}}\right)^{2}\cdot\left(\frac{(x-2)^{3}(x^{2}+2x+2)^{3}}{(x^{3}-8)^{3}}\right)^{2}$.
**A)** $x^6$
**B)** $(x^3-8)^6$
**C)** $1$
**D)** $(x^3+8)^6$
**E)** $(x^3+8)(x^3-8)$

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