667×668×669-666×668×670=_.

问题描述:

667×668×669-666×668×670=______.

667×668×669-666×668×670,
=668×(667×669-666×670),
=668×[(666+1)×669-666×(669+1)],
=668×(666×669+669-666×669-666),
=668×3,
=2004.
故答案为:2004.