Answer:
–9(3x³ – 8x + 9)
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)