Respuesta :

Answer:

–9(3x³ – 8x + 9)

Step-by-step explanation:

–27x³ + 72x – 81

The above equation can be factorised as follow:

–27x³ = –3 * 3 * 3 * x * x * x

72x = 2 * 2 * 2 * 3 * 3 * x

–81 = –3 * 3 * 3 * 3

Common factor = 3 * 3

Greatest common factor = 9

Thus,

–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)

–27x³ + 72x – 81 = –9(3x³ – 8x + 9)