What is the balanced equation for H2O2 + KI + dish soap
Ah!! The elephant toothpaste experiment.
First thing first, this reaction is actually a decomposition experiment as the following equation.

$$\ce{2H2O2 -&gt; 2H2O + O_2}$$

Second, $\ce{KI}$ acts as a catalyst in this experiment. You also can use $\ce{MnO4}$ too as the catalyst for this experiment.

Third, the dish soap makes the product of the experiment more soapy and bubbly. So, you can see it will create look like a toothpaste. If you didn't put the dish soap, it will only look like gas bubbling out if the solution.