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xz^4+xy^4+yz^4-y^5 canonical form

The teacher will be very surprised to see your correct solution 😉

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   5      4      4      4    
- y  + x*y  + x*z  + y*z  = 0
$$x y^{4} + x z^{4} - y^{5} + y z^{4} = 0$$
x*y^4 + x*z^4 - y^5 + y*z^4 = 0