ЯсноПонятно24

First, let's simplify each part of the expression:

6(202100 + 1)^2 = 6(202101)^2 = 6(4084208401) = 24505250406

3(202100 - 2)^2 = 3(202098)^2 = 3(4082080804) = 12244242412

-3(202200 + 8) = -3(202208) = -606624

2((202100 + 1)^2 - 202100 - 202200)(202100 - 1) = 2((202101)^2 - 202100 - 202200)(202100 - 1) = 2(4084208401 - 202100 - 202200)(202100 - 1) = 2(4083804001)(202100 - 1) = 1650181216400400

Now, substitute these values back into the original expression:

24505250406 + 12244242412 - 606624 - 1650181216400400 = 24505250406 + 12244242412 - 606624 - 1650181216400400 = -165014373968206

Therefore, the final result is -165014373968206.