it is Bahasa Malaysia but it is also bahasa melayu.

not really.. Consider this, an Indian from india comes to malaysia. now he is called a malaysian. but is he still not an indian ethnically? of course he is. But he is also a Malaysian nationalistically. the Language of Melayu has been spoken by the people of this land + other parts in the Nusantara since long ago. it's roots is bahasa Melayu. and it is still today, but for the sake for it's new identity it would also be called as Bahasa Malaysia. but the people who has roots from the generations of old who dwell in the land for ages long past could still call it Bahasa Melayu. no problem at all. of course la.. the people who have stayed here for generations should just be considered a malaysian la.. (edit)and of course they could still be recognized as their ethnic root also.. no problem.

As the Bahasa Kebangsaan or Bahasa Nasional (National Language) of several states, Standard Malay has various official names. In Singapore and Brunei it is called Bahasa Melayu (Malay language); in Malaysia, Bahasa Malaysia (Malaysian language); and in Indonesia, Bahasa Indonesia (Indonesian language) and is designated the Bahasa Persatuan/Pemersatu ("unifying language/lingua franca"). However, in areas of central to southern Sumatra where the language is indigenous, Indonesians refer to it as Bahasa Melayu and consider it one of their regional languages. -wiki