Answer to Question 2

(x2 + y2)(x4 - x2y2 + y4) = x6 - x4y2 + x2y4 + x4y2 - x2y4 + y6
  = x6 + y6

x6 + y6 = (x2 + y2)(x4 - x2y2 + y4)
This equation is an identity.

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