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\frac1x+\frac1{2y}=(x^2+3y^2)(3x^2+y^2) & \frac1x-\frac1{2y}=2(y^4-x^4)
\frac1x+\frac1{2y}=(x^2+3y^2)(3x^2+y^2) & \frac1x-\frac1{2y}=2(y^4-x^4)
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