Prove that `x^2023+y^2023+z^2023=0` If `(x^2+y^2+z^2)/(a^2+b^2+c^2)=x^2/a^2+y^2/b^2+z^2/c^2`

• This is the problem that I picked from Vietnamese collection problems which is the basic for kind of this question. 
• From that origin problem is `x^2019+y^2019+z^2019=0` but, I have changed it to `2023` .

• Problem in Khmer language:

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