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(-x^2+2\left(1-\frac{1}{(a^2+1)^2}\right)xa+\frac{1}{a^2+1}+\frac{2a^2}{(a^2+1)^2}-a^2) - (1/(a^2+1) - 2a(x-a)/(a^2+1)^2)
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