How to Write a Polynomial in Standard Form with Three Variables?

[bergausstein]

how do you write a polynomial in three variables say x,y,z in standard form?

 

[alyafey22]

The question is somehow vague , is this what you mean ?

$$P(x,y,z)= a_n (xyz)^n +a_{n-1}(xyz)^{n-1}+\cdots +a_1 xyz +a_0 $$