
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
The hypotenuse $c$ of a right triangle exceeds one leg $a$ by two units. Determine the square of the other leg $b$. Which of the following expresses $b^2$?
- No choices provided here; will provide after verifying answer.
**A)** \( 2a + 2 \)\\
**B)** \( 4a + 4 \)\\
**C)** \( a^2 + 4 \)\\
**D)** \( 2a + 4 \)\\
**E)** \( 8a \)

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