
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
If \( g(x) = 6x^2 - 3x + 4 \), then calculate \( g(x + h) - g(x) \).
**A)** \( 6h^2 + 12xh - 3h \)  
**B)** \( h(6x + 12h - 3) \)  
**C)** \( 12xh + 6h - 3h^2 \)  
**D)** \( h(12x + 6h - 3) \)  
**E)** \( 6xh + 3h^2 - 12h \)

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