因数 (3x-1)^3-27x+9

解

因数

(3 x - 1)^{3} - 27 x + 9

(3 x - 1) (3 x + 2) (3 x - 4)

解答ステップ

(3 x - 1)^{3} - 27 x + 9

因数

- 27 x + 9 : 9 (- 3 x + 1)

= (3 x - 1)^{3} + 9 (- 3 x + 1)

9 (- 3 x + 1) = - 9 (3 x - 1)

= (3 x - 1)^{3} - 9 (3 x - 1)

共通項をくくり出す

(3 x - 1) : (3 x - 1) ((3 x - 1)^{2} - 9)

= (3 x - 1) ((3 x - 1)^{2} - 9)

因数

(3 x - 1)^{2} - 9 : (3 x + 2) (3 x - 4)

= (3 x - 1) (3 x + 2) (3 x - 4)