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Tomfulp
@Tomfulp
August 2022
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Разложите на множители многочлен a^4-6a^3+54a-81
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mmb1
Verified answer
A⁴ - 6a³ + 54a - 81 = a⁴ - 9² - 6a³ + 54a = (a² - 9)(a² + 9) - 6a(a² - 9) = (a² - 9)(a² + 9 - 6a) = (a - 3)(a+3)(a-3)² = (a+3)(a-3)³ = (a - 3)(a+3)(a-3)(a-3)
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Verified answer
A⁴ - 6a³ + 54a - 81 = a⁴ - 9² - 6a³ + 54a = (a² - 9)(a² + 9) - 6a(a² - 9) = (a² - 9)(a² + 9 - 6a) = (a - 3)(a+3)(a-3)² = (a+3)(a-3)³ = (a - 3)(a+3)(a-3)(a-3)