设2020为a,则原算式可以写为:
a×(a+1)-(a-1)×(a+2)
=a²+a-(a²-a+2a-2)
=a²+a-a²-a+2
=2
2020ⅹ2021一2019ⅹ2022
=2020x(2020+1) -(2020-1)(2020+2)
=2020²+2020-2020²+2020-2020x2+2
【前5项抵消】
=2
2020ⅹ2021一2019ⅹ2022
=(2019+1)ⅹ2021一2019ⅹ2022
=2019ⅹ2021+1ⅹ2021一2019ⅹ2022
=2019ⅹ(2021-2022)+2021
=2021-2019
=2
2019×2021+2021―2019×2022
=2019×(2021―2022)+2021
=―2019+2021
=2
2020*2021-2020*2022+2022
=2028(2021-2022)+2022
=2020*(-1)+2022
=2022-2020=2+