
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
Evaluate the expression $\frac{c^4 - d^4}{2(c^2 - d^2)}$.
A) $\frac{c^2 - d^2}{2}$
B) $\frac{c^2 + d^2}{2}$
C) $c^2 + d^2$
D) $c^2 - d^2$
E) $2(c^2 + d^2)$

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