The first video showed Carey holding an overflowing champagne bottle with the caption “Splashes”.
In the other video, she continues to dance as she throws some ice at the camera. “I like ice,” she writes as the accompanying caption.
In his latest rap, Cannon agreed to sign the divorce papers, ending their seven-year marriage.
The couple share two children together.
“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.