
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 following expression for \(a = \frac{4}{3}\) and \(b = 0.25\):

\[
\frac{4a^{2} - b^{2}}{a^{6} - 8b^{6}} \cdot \sqrt{a^{2} - 2b\sqrt{a^{2} - b^{2}}} \cdot \frac{4^{4} + 2a^{2}b^{2} + 4b^{4}}{4a^{2} + 4ab + b^{2}} \cdot \sqrt{a^{2} + 2b\sqrt{a^{2} - b^{2}}}
\]

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