2(2024¹⁰⁰+1) ²+(2024¹⁰⁰-2) ²_(2024²⁰⁰+8)/2((2024¹⁰⁰+1) ²-2024¹⁰⁰-2024²⁰⁰) (2024¹⁰⁰-1)

Вопрос пользователя:

Ответ нейросети:

Let's break down the given expression step by step:

Calculate the value of (2024¹⁰⁰+1) ²: (2024¹⁰⁰+1) ² = (2024¹⁰⁰ + 1)(2024¹⁰⁰ + 1) Expanding this gives us: = 2024²⁰⁰ + 2 * 2024¹⁰⁰ + 1
Calculate the value of (2024¹⁰⁰-2) ²: (2024¹⁰⁰-2) ² = (2024¹⁰⁰ - 2)(2024¹⁰⁰ - 2) Expanding this gives us: = 2024²⁰⁰ - 4 * 2024¹⁰⁰ + 4
Calculate the value of (2024²⁰⁰+8)/2: (2024²⁰⁰+8)/2 = (2024²⁰⁰ + 8)/2 = 2024²⁰⁰/2 + 8/2 = 1012¹⁰⁰ + 4
Calculate the value of ((2024¹⁰⁰+1) ²-2024¹⁰⁰-2024²⁰⁰): ((2024¹⁰⁰+1) ²-2024¹⁰⁰-2024²⁰⁰) = (2024¹⁰⁰ + 1) ² - 2024¹⁰⁰ - 2024²⁰⁰ = (2024¹⁰⁰ + 1)(2024¹⁰⁰ + 1) - 2024¹⁰⁰ - 2024²⁰⁰ = 2024²⁰⁰ + 2 * 2024¹⁰⁰ + 1 - 2024¹⁰⁰ - 2024²⁰⁰ = 2 * 2024¹⁰⁰ + 1 - 2024¹⁰⁰ = 2024¹⁰⁰ + 1
Finally, substitute the calculated values back into the original expression: 2(2024¹⁰⁰+1) ² + (2024¹⁰⁰-2) ² - (2024²⁰⁰+8)/2((2024¹⁰⁰+1) ² - 2024¹⁰⁰ - 2024²⁰⁰) (2024¹⁰⁰-1) = 2(2024²⁰⁰ + 2 * 2024¹⁰⁰ + 1) + (2024²⁰⁰ - 4 * 2024¹⁰⁰ + 4) - (1012¹⁰⁰ + 4)(2024¹⁰⁰ + 1) = 4048²⁰⁰ + 4 * 2024¹⁰⁰ + 2 - 2024²⁰⁰ - 4 * 2024¹⁰⁰ + 4 - 1012¹⁰⁰ * 2024¹⁰⁰ - 1012¹⁰⁰ = 2024²⁰⁰ + 4 * 2024¹⁰⁰ + 6 - 1012¹⁰⁰ * 2024¹⁰⁰ - 1012¹⁰⁰

Therefore, the simplified form of the given expression is 2024²⁰⁰ + 4 * 2024¹⁰⁰ + 6 - 1012¹⁰⁰ * 2024¹⁰⁰ - 1012¹⁰⁰.

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