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allknown
@allknown
July 2022
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прошу очень сильно !!!!
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Dимасuk
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Заменим 2010 на а. Тогда:
√(а⁴ + 2(а - 1)² + 4а - 1) - √(а⁴ - 2(а + 1)² + 4а + 3) = √(а⁴ + 2а² - 4а + 2 + 4а - 1) - √(а⁴ - 2а² - 4а - 2 + 4а + 3) = √(а⁴ + 2а + 1) - √(а⁴ - 2а² + 1) = √(а² + 1)² - √(а² - 1)² = а² + 1 - а² + 1 = 2.
Ответ: 2.
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sedinalana
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Answers & Comments
Verified answer
Заменим 2010 на а. Тогда:√(а⁴ + 2(а - 1)² + 4а - 1) - √(а⁴ - 2(а + 1)² + 4а + 3) = √(а⁴ + 2а² - 4а + 2 + 4а - 1) - √(а⁴ - 2а² - 4а - 2 + 4а + 3) = √(а⁴ + 2а + 1) - √(а⁴ - 2а² + 1) = √(а² + 1)² - √(а² - 1)² = а² + 1 - а² + 1 = 2.
Ответ: 2.
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