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idyna100
@idyna100
July 2022
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Нужно подробное решение. Заранее спасибо. Ответ:30
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Санечка69
Verified answer
Здесь можно увидеть и применить формулу a³ + b³ = (a + b)(a² - ab + b²)
Только 0,2^(-2/3) = (5⁻¹)^(-2/3) = 5^(2/3) = (5²)
^(1/3) = 25^(1/3)
Получим:
(25^(1/3) + 5^(1/3))( (25^(1/3))
² - 25^(1/3) · 5^(1/3) + (5^(1/3))²) =
= (25^(1/3))³ + (
5^(1/3))
³ = 25 + 5 = 30
1 votes
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Answers & Comments
Verified answer
Здесь можно увидеть и применить формулу a³ + b³ = (a + b)(a² - ab + b²)Только 0,2^(-2/3) = (5⁻¹)^(-2/3) = 5^(2/3) = (5²)^(1/3) = 25^(1/3)
Получим:
(25^(1/3) + 5^(1/3))( (25^(1/3))² - 25^(1/3) · 5^(1/3) + (5^(1/3))²) =
= (25^(1/3))³ + (5^(1/3))³ = 25 + 5 = 30