Jadeonlyme Jadeonlyme

19-09-2021
Mathematics

contestada

[tex]-x^{3} +3x^{2} -3x+1

Respuesta :

lynnkc2000 lynnkc2000

19-09-2021

Answer:

-x³ + 3x² - 3x + 1 = -(x-1)³

Step-by-step explanation:

-x³ + 3x² - 3x + 1

= - (x³ - 3x² + 3x - 1)

= -((x³ - 1) - 3x(x - 1))

= -((x-1)(x²+x+1) - 3x(x-1))

= - (x-1) (x² - 2x + 1)

= - (x-1) (x - 1)²

= - (x-1)³

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