$x^{2}(x−1)^{2}(x^2+1)+y^2$ is irreducible over $\mathbb{C}[x,y].$

by jpatrick   Last Updated January 14, 2018 13:20 PM

Why $x^{2}(x−1)^{2}(x^2+1)+y^2$ is irreducible in $\mathbb{C}[x,y]$? I tried to do it directly, but I have problems. Could anyone give me an hint? I don't want a solution. I think it's very easy, but at this moment to claim it.

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