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Automated completing the square for multivariate polynomials with mixed quadratic forms

Posted 12 hours ago
-8 x^2 + x^4 + 8 y^2 + 2 x^2 y^2 + y^4 == (x^2 + y^2)^2 - 
      8 (x^2 - y^2)

How to complete the square simultaneously in x and y for the left-hand expression to get the right-hand form?

POSTED BY: Wen Dao
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