Сократить Дробь3a²-18a+279a²-81

Question

Сократить Дробь
3a²-18a+27
9a²-81

Answer 1

(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.