You must make sure those cut edges are always in water, or the skin process will just start all over again. Check the tree daily and add water. Your tree, depending on it's size and the temps in the house, will drink anywhere from a quart to a gallon a day. Daily, check the areas where the lights are for scorching. Even the tiny lights give off a lot of heat and dry the needles.
Trees grow out in very cold weather, and go dormant at a certain temperature.
When brought into the house, they are forced back to life . There is enough food stored in the limbs and trunk for the tree to live many weeks after it is cut when it is kept cold. The process is sped up dramatically with 70-80 degrees inside a house. Add the drying effects of lights, wood heat or the flowing air from furnaces and fans, and you have a situation where the tree is rapidly wicking off moisture. It needs to be replenished constantly, not only for the look of the tree, but for safety of your home and family.