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nastyaporhun
@nastyaporhun
June 2022
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знайдіть значення виразу: 4а\ а2-4 : (а+2\а-2 - а-2\а+2), якщо а=-2013
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mami25366
4а\ а2-4 : (а+2\а-2 - а-2\а+2) =
4a (a + 2)(a + 2) - (a - 2)(a - 2)
= ------------------- : -------------------------------------- =
(a + 2)(a - 2) (a + 2)(a - 2)
4a *
(a + 2)(a - 2)
= ---------------------------------------------- =
(a + 2)(a - 2) * ((a + 2)² - (a - 2)²)
4a 4a 4a
= --------------------------------------- = -------------- = ------------- = 1/2
(a + 2 + a - 2)(a + 2 - a + 2) 2a * 4 8a
Выражение равно 1/2 независимо от значения а
2 votes
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Answers & Comments
4a (a + 2)(a + 2) - (a - 2)(a - 2)
= ------------------- : -------------------------------------- =
(a + 2)(a - 2) (a + 2)(a - 2)
4a * (a + 2)(a - 2)
= ---------------------------------------------- =
(a + 2)(a - 2) * ((a + 2)² - (a - 2)²)
4a 4a 4a
= --------------------------------------- = -------------- = ------------- = 1/2
(a + 2 + a - 2)(a + 2 - a + 2) 2a * 4 8a
Выражение равно 1/2 независимо от значения а