DrippQueenMo
DrippQueenMo DrippQueenMo
  • 24-02-2021
  • Mathematics
contestada

Factor:[tex]27x^3+8[/tex]

Respuesta :

Supernova11
Supernova11 Supernova11
  • 24-02-2021

Answer:

(3x + 2)(9x^2 - 6x + 4)

Step-by-step explanation:

Simple Question.

27x^3 + 8 = (3x)^3 + (2)^3

You can now apply the sum of the cubes formula:

x^3 + y^3 = (x + y)(x^2 - xy + y^2),

(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)

                      =  (3x + 2)(9x^2 - 6x + 4)

Solution: (3x + 2)(9x^2 - 6x + 4)

Answer Link

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