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Factor:
125x^3-27

A) (5x + 3) (25x^2 - 15x + 9)
B) (5x + 3) (5x^2 - 15x + 9)
C) (5x - 3) (5x^2 - 15x + 9)
D) (5x - 3) (25x^2+ 15x + 9)​

Respuesta :

Hrishii

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

[tex]125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}[/tex]

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