where did confucianism, daoism, and legalism spread to?

i need help for homework please help me?

China, China, and America, respectively.

first of all Confucianism spread was the Buddhist philosophy in china, the emperor of china sent messengers to India to find out the secrets of Buddhism to use it for his own power, but the message got scrambled along the way and became about social class rather than inner peace and good will to others and so on. Taoism or Taoism was the second form of Buddhism to reach china, this was more to do with living with the earth, and a lot more "traditional" than Confucianism, because it was more about finding enlightenment.

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Across the Spice Road. However, it remained fairly stationary in China. There isn't much of it elsewhere, save maybe India.

[to the persons above] They're all Chinese philosophies, naturally they would be in China, and I can't think of anything doing with legalism in the Americas.

I don't think you read the sources correctly, not that the book itself is wholly wrong, but Confucianism and Legalism (legalism pretty much died out though) are as traditional as the Chinese could get, since they were made in China. Buddhism was, in fact, rejected initially because it was nontraditional.