Integer Solutions, Rational Solutions of the Equations x<sup>4</sup>+y<sup>4</sup>+z<sup>4</sup>-2x<sup>2</sup>y<sup>2</sup>-2y<sup>2</sup>z<sup>2</sup>-2z<sup>2</sup>x<sup>2</sup>=n and x<sup>2</sup>+y<sup>4</sup>+z<sup>4</sup>-2xy<sup>2</sup>-2xz<sup>2</sup>-2y<sup>2</sup>z<sup>2</sup>=n - And Crux …
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