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3a²-18a+27

9a²-81

(3 a^2-18 a+27) / (9 a^2-81)

(3 a^2-18 a+27) / 9 (a^2-9)

(3 a^2-18 a+27) / (9 (a^2-3^2))

(3 a^2-18 a+27) / (9 (a-3) (a+3))

3 (a^2-6 a+9) / (9 (a-3) (a+3))

(3 (a-3) (a-3)) / (9 (a-3) (a+3))

(3 (a-3) ^2) / (9 (a-3) (a+3))

(a-3) ^2 / (3 (a-3) (a+3))

(a-3) ^2-1 / (3 (a+3))

(a-3) / (3 (a+3))

Вот и все.