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nastya6724
@nastya6724
July 2022
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Упростите выражение (a −6)(a +6)(36 + a^2 ) −(a ^2 −18) ^2 и найдите его значение при a=− 1/ 6 .
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Pacanka202
Verified answer
(а^2–36)(36+а^2)–(а^2–18)^2 =
= а^4–1296–(а^4–36а^2+324 =
= а^4–1296–а^4+36а^2–324 =
= 36а^2–1620 = 36(а^2–45) =
= 36*(1/36–45) = 36(-1619/36) = -1619
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Verified answer
(а^2–36)(36+а^2)–(а^2–18)^2 == а^4–1296–(а^4–36а^2+324 =
= а^4–1296–а^4+36а^2–324 =
= 36а^2–1620 = 36(а^2–45) =
= 36*(1/36–45) = 36(-1619/36) = -1619