"puas.bravehost.com" is a subdomain name. You can have it hosted for free (ads and popups) or purchase hosting (no ads or popups).

"puas.com" is a domain name. This must be purchased through a domain name registrar, but can point to a free or paid subdomain.

However, "puas.com" is already owned by someone and doesn't expire until April 17, 2009. But as long as the current owner keep up the rent, you will not be able to use it.