Here's why:

* Ammonium ion (NH₄⁺): This is a stable cation.

* Peroxide ion (O₂²⁻): This is a stable anion.

However, the combination of these ions would result in a highly unstable compound due to the strong oxidizing nature of the peroxide ion and the reducing nature of the ammonium ion. This instability would lead to immediate decomposition into other products.

Therefore, while the formula could be written as (NH₄)₂O₂, this compound is not chemically feasible.