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x^4 + 2x^3(a+c) -2x (a^3+a^2c+c^2a+c^3) = (a^2+c^2)^2
x^4 + 2x^3(a+c) -2x (a^3+a^2c+c^2a+c^3) = (a^2+c^2)^2
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