
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
For the different positive numbers \(a\) and \(b\), it is known that

\[ a^{3}-b^{3}=3\left(2 a^{2} b-3 a b^{2}+b^{3}\right) \]

By how many times does the larger number exceed the smaller number?

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