解答如下:
20172017x20172017-20162016x20162016=(20172017+20162016)X(20172017-20162016)=40334033X10001=403380664033
设2016=a,则原式=[10001(a+1)]^2-[10001a]^2=10001^2*[(a+1)^2-a^2]=100020001(2a+1)=100020001*4033=400338006640033.