
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: $a=\sqrt{3}-2$, $b=\sqrt{3}+2$, find the values of the following algebraic expressions:  
(1) $a^{2}+2ab+b^{2}$  
(2) $a^{2}b-ab^{2}$.

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