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dimadoma02
@dimadoma02
September 2021
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Разложите на множители
x^4-6*x^3+54*x-81
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x^4-6*x^3+54*x-81=(x^4-81)-6x(x^2-9)=(x^2-9)(x^2+9)-6x(x^2-9)=(x^2-9)(x^2-6x+9)=(x-3)(x+3)(x-3)^2=(x+3)(x-3)^3
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Verified answer
x^4-6*x^3+54*x-81=(x^4-81)-6x(x^2-9)=(x^2-9)(x^2+9)-6x(x^2-9)=(x^2-9)(x^2-6x+9)=(x-3)(x+3)(x-3)^2=(x+3)(x-3)^3