
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
Given the ellipse C: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$$ (a > 0, b > 0).
(1) If the eccentricity of the ellipse is $$\frac {1}{2}$$, and the length of the chord that passes through the right focus and is perpendicular to the major axis is 3, find the standard equation of ellipse C.
(2) If ellipse C is fixed, point P(m, 0) is a moving point on the major axis of the ellipse, and line l with a slope of $$\frac {b}{a}$$ passes through point P and intersects ellipse C at points A and B. Determine whether |PA|<sup>2</sup> + |PB|<sup>2</sup> is a constant value. If it is a constant value, find this value; if not, explain why.

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