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If $$P = 3^{2010} + 3^{-2010}$$, $$Q = 3^{2010} - 3^{-2010}$$ then $$P^2 - Q^2 =$$ ________
Correct Answer: 4
$$P^2 - Q^2 = (P + Q)(P - Q) = \left(2 \times 3^{2010}\right)\left(2 \times 3^{-2010}\right) = 4$$.
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