
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
During a math class, a student incorrectly squared the expression \((a + 2b - 3)^{2}\) and got the result \(a^{2} + 4b^{2} - 9\). By the teacher's request, the student substituted natural numbers for \(a\) and \(b\). After substitution, the result turned out to be correct. What numbers could the student have substituted?

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