Verified answer

x^3 - 9x^2 + 27x - 27

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

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

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

= (x - 3)^3

27 X 2

x^3 - 9x^2 + 27x - 27

= x^3 - 3x^2 - 6x^2 + 18x + 9x -27

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

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

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

= (x-3)^3

x^3-9x^2+27x-27

let's use synthetic division 1st

3| 1..-9...27...-27

........3..-18....27

---------------------------

....1.-6....9......0

so

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

=(x - 3)(x - 3)(x - 3)

=(x - 3)^3 answer//