@cyberia *Well, kinda. As far as I can tell, the ammonium hydroxide and hydrogen peroxide don't react with each other. But there would likely be an equilibrium reaction between ammonium hydroxide ((NH4)(OH)) and ammon*ia* + water (NH3 + H2O). I'm not sure how important this is towards the bleaching effect, but it's a caveat to "no reaction" I thought I'd mention.