The first video showed Carey holding an overflowing champers bottle with the caption “Splashes”.
In the second clip, she continues to dance as she throws some ice at the camera. “I like ice,” she writes as the accompanying caption.
Cannon released a new song, which he closed with the lyrics “I’ll sign these papers”, agreeing to end their seven-year marriage.
The couple share two children, who were also mentioned in the track.
“This [rap] was strictly a creative way for me to express my frustrations with the media, the naysayers, myself and ultimately with the voices in my head,” he said.
Carey is now engaged to Aussie billionaire James Packer.