You're asking about the reaction of hydrogen peroxide (H₂O₂) with itself. This is a bit of a tricky question because it's not a simple reaction like you might expect with two different chemicals.

Hydrogen peroxide is inherently unstable and tends to decompose into water and oxygen gas:

2 H₂O₂ → 2 H₂O + O₂

This reaction is catalyzed by various factors, including:

* Light: Exposure to light speeds up the decomposition.

* Heat: Higher temperatures accelerate the reaction.

* Impurities: Metal ions like iron or manganese can act as catalysts.

* Enzymes: Certain enzymes, like catalase (found in our bodies), can dramatically speed up the breakdown.

What about the reaction with itself? The decomposition of hydrogen peroxide is effectively a reaction with itself, where one molecule of H₂O₂ acts as both the reactant and the product.

Therefore, the "reaction of hydrogen peroxide with peroxide" is essentially the same as the decomposition of hydrogen peroxide itself.