The type of reaction represented by the equation is synthesis reaction.
Definition of synthesis reaction
A synthesis reaction is simply defined as reaction in which two or more substances react to produce a single new substance which has characteristics different from the reactants.
Considering the equation given, we can conclude as follow:
2H₂ + O₂ —> 2H₂0 + energy
The reaction is a synthesis reaction since H₂ and O₂ combined to produce a single product i.e H₂O
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