ЯсноПонятно24

Let's break down the expression step by step:

1. (2024¹⁰⁰ + 1)² = 2024²⁰⁰ + 2*2024¹⁰⁰ + 1
2. (2024¹⁰⁰ - 2)² = 2024²⁰⁰ - 4*2024¹⁰⁰ + 4
3. (2024²⁰⁰ + 8)/2 = 1012²⁰⁰ + 4
4. ((2024¹⁰⁰ + 1)² - 2024¹⁰⁰ - 2024²⁰⁰) = 2024²⁰⁰ + 2*2024¹⁰⁰ + 1 - 2024¹⁰⁰ - 2024²⁰⁰ = 2024¹⁰⁰ + 1
5. (2024¹⁰⁰ - 1) = 2024¹⁰⁰ - 1

Now, substitute these values back into the original expression:

2(2024²⁰⁰ + 22024¹⁰⁰ + 1) + (2024²⁰⁰ - 42024¹⁰⁰ + 4) - (1012²⁰⁰ + 4)(2024¹⁰⁰ + 1)

Expanding further:

22024²⁰⁰ + 42024¹⁰⁰ + 2 + 2024²⁰⁰ - 42024¹⁰⁰ + 4 - 1012²⁰⁰2024¹⁰⁰ - 1012²⁰⁰ - 4

Now, simplify:

4048²⁰⁰ + 82024¹⁰⁰ + 6 - 1012²⁰⁰2024¹⁰⁰ - 1012²⁰⁰ - 4

This is the final simplified form of the given expression.