Squirt a few drops of Brasso onto a soft cloth.
Rub the Brasso on this cloth into the scratches on your CD.
Apply moderate pressure when rubbing the CD, until you see the scratches begin to wear away.
Continue rubbing the CD with this cloth, adding more Brasso if necessary, until most of the scratches have disappeared.
Pour some rubbing alcohol onto another clean, soft cloth.
Wipe the Brasso residue off of the CD using this cloth. When wiping, start at the center of the CD and move across the CD to the outside edge to avoid scratching it.
Air dry the CD completely before using it.