Can I apply adsense fro Sub-domain name?

Actually you can apply to AdSense with sub-domain, but since you already have a domain name then why you want 2 AdSense accounts ?

Let say that your domain is (example.com) assigned with AdSense account, then automatically and because you authenticated it before , all the example.com subs are eligible to your existing AdSense account.

AdSense for Youtube.com is another case similar to your question.

I started applying to AdSense with a sub-domain and a blogspot blog .

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