
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 expression
\[
\frac{P+Q}{P-Q}-\frac{P-Q}{P+Q}
\]
where \( P = x + y + z \) and \( Q = x - y - z \), is equivalent to which of the following?
**A)** \(\frac{x^2 - y^2 - z^2}{x(y+z)}\)
**B)** \(\frac{x^2 - y^2 - 2yz - z^2}{x(y+z)}\)
**C)** \(\frac{x^2 - y^2 - z^2}{xy}\)
**D)** \(\frac{x^2 - y^2}{x(y+z)}\)
**E)** \(\frac{x^2 + y^2 + z^2}{x(y+z)}\)

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