Question

2020×202220222022-2021×202020202020用简便方法怎么计算？

Answer 1

简便计算
2020×202220222022-2021×202020202020
=2020×2022×100010001-2021×2020×100010001
=（2022-2021）×2020×100010001
=1×2020×100010001
=202020202020

Answer 2

设2020=a
原式=a×((a+2)×100010001)-(a+1)×(a×100010001)
=100010001×(a×(a+2)-a×(a+1))
=100010001×(a²+2a-a²-a)
=100010001×a
=202020202020