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\left(\sqrt{x^{4}+1}\right)^{2}
Multiply \sqrt{x^{4}+1} and \sqrt{x^{4}+1} to get \left(\sqrt{x^{4}+1}\right)^{2}.
x^{4}+1
Calculate \sqrt{x^{4}+1} to the power of 2 and get x^{4}+1.