I'm pretty sure the expire date is just a shelf date that the stores need to get the item off the shelf by...it's not going to be any less fresh then it was the week before as it is sealed.
Think back to when our grandparents/great grandparents were younger. ... They didn't have expire dates on their foods..they went by look and smell.
You can also put it in the freezer. They say that helps keep it fresh...usually once it has been opened tho...but seeing how all the cups are sealed I am sure they will be fine.