Sora Sora
  • 09-02-2024
  • Mathematics
High School

Multiply and simplify.

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

A) x^3 - 27
B) x^3 - 27x^2
C) x^3 - 6x^2 + 3x - 27
D) x^3 - 9x^2 + 6x - 27

Answer :

Hi1315 Hi1315
  • 21-10-2023

Answer:

Answer A is correct

[tex] {x}^{3} - 27[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} + 3x + 9) \\ x( {x}^{2} + 3x + 9) - 3( {x}^{2} + 3x + 9) \\ {x}^{3} + 3 {x}^{2} + 9x - 3 {x}^{2} - 9x - 27 \\ {x}^{3} - 27[/tex]

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