ЯсноПонятно24

Let's break down the expression step by step:

1. Calculate 3224¹⁰⁰: 3224¹⁰⁰ = 2.656 × 10¹⁹⁹

2. Calculate (3224¹⁰⁰ + 1)²: (3224¹⁰⁰ + 1)² = (2.656 × 10¹⁹⁹ + 1)² = (2.656 × 10¹⁹⁹ + 1) × (2.656 × 10¹⁹⁹ + 1) = 7.067 × 10³⁹⁸ + 5.312 × 10¹⁹⁹ + 1

3. Calculate 4 × (3224¹⁰⁰ + 1)²: 4 × (3224¹⁰⁰ + 1)² = 4 × (7.067 × 10³⁹⁸ + 5.312 × 10¹⁹⁹ + 1) = 2.827 × 10³⁹⁸ + 21.248 × 10¹⁹⁹ + 4

4. Calculate (3224¹⁰⁰ - 2)²: (3224¹⁰⁰ - 2)² = (2.656 × 10¹⁹⁹ - 2)² = (2.656 × 10¹⁹⁹ - 2) × (2.656 × 10¹⁹⁹ - 2) = 7.067 × 10³⁹⁸ - 10.624 × 10¹⁹⁹ + 4

5. Calculate 2 × (3224¹⁰⁰ - 2)²: 2 × (3224¹⁰⁰ - 2)² = 2 × (7.067 × 10³⁹⁸ - 10.624 × 10¹⁹⁹ + 4) = 14.134 × 10³⁹⁸ - 21.248 × 10¹⁹⁹ + 8

6. Calculate 3224²⁰⁰: 3224²⁰⁰ = 2.656 × 10³⁹⁸

7. Calculate (3224²⁰⁰ + 8): (3224²⁰⁰ + 8) = (2.656 × 10³⁹⁸ + 8) = 2.656 × 10³⁹⁸ + 8

8. Calculate 2 × (3224²⁰⁰ + 8): 2 × (3224²⁰⁰ + 8) = 2 × (2.656 × 10³⁹⁸ + 8) = 5.312 × 10³⁹⁸ + 16

Now, substitute the calculated values back into the original expression:

4 × (3224¹⁰⁰ + 1)² + 2 × (3224¹⁰⁰ - 2)² - 2 × (3224²⁰⁰ + 8) = (2.827 × 10³⁹⁸ + 21.248 × 10¹⁹⁹ + 4) + (14.134 × 10³⁹⁸ - 21.248 × 10¹⁹⁹ + 8) - (5.312 × 10³⁹⁸ + 16) = 16.961 × 10³⁹⁸ + 42.496 × 10¹⁹⁹ + 12 - 5.312 × 10³⁹⁸ - 16 = 11.649 × 10³⁹⁸ + 42.496 × 10¹⁹⁹ - 4

Therefore, the simplified expression is 11.649 × 10³⁹⁸ + 42.496 × 10¹⁹⁹ - 4.