2020 x 2021 - 2022 x 2021^5 + 2021^3

Let's break down the expression step by step:

2020 x 2021 = 4,085,420
2022 x 2021 = 4,088,382
2021^5 = 106,895,424,641
2021^3 = 8,246,084,261

Now, let's substitute these values back into the expression:

4,085,420 - 4,088,382 + 8,246,084,261 = 8,246,084,299

Therefore, the final result of the expression 2020 x 2021 - 2022 x 2021^5 + 2021^3 is 8,246,084,299.