Complex sentence: The song was performed live on two club party events hosted by Suzuki: the 2008 Cruising Party, and a live performance at Club Asia; the performances appeared on the limited edition DVD format for "Supreme Show".
Split into simpler sentences: The song was performed live on two club party events hosted by Suzuki: the 2008 Cruising Party, and a live performance at Club Asia. The live version was released on the limited edition DVD format for "Supreme Show".