Acetylsalicylic acid is salicylic acid with an acetyl group added. Salicylic acid is a plant hormone that is found in all plants, but occurs in relatively high concentration in willow bark, and is in fact named after the Latin word for willow. Aspens are in the willow family, but a different genus than willows.
Rooting compounds use synthetic indolebutyric acid, which is the auxin that is present in high concentrations in willow tea. If the tea is made properly then you shouldn't need to use any other rooting compound.
Rooting compounds are entirely optional for

, stem cuttings will root without them.

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