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Write \[x^3 -9x^2 +27x -27=(x^3-27)+(-9x^2+27x)=(x^3-3^3)-9x(x-3)=\dots\]
Does this help?

let me try:
(x^3 - 3^3) - 9x (x-3)
1^3 (x-3) -9x (x-3)
(x-3) (-9x)
lol am i right :S?

Now we will apply this to the problem in our hand. You wanna try?

Makes sense?

how did you get from:
=(x−3)(x^2+3x+9−9x)
to
=(x−3)(x−3)^2

oh no not that one sorry.

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

(2x+3)^_4

??????///