因数 9(2x-3)^2-3(3-2x)-6

解

因数

9 (2 x - 3)^{2} - 3 (3 - 2 x) - 6

6 (x - 1) (6 x - 11)

解答ステップ

9 (2 x - 3)^{2} - 3 (3 - 2 x) - 6

共通項をくくり出す

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

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

拡張

3 (2 x - 3)^{2} - (3 - 2 x) - 2 : 12 x^{2} - 34 x + 22

= 3 (12 x^{2} - 34 x + 22)

因数

12 x^{2} - 34 x + 22 : 2 (x - 1) (6 x - 11)

= 3 \cdot 2 (x - 1) (6 x - 11)

数を乗じる:

3 \cdot 2 = 6

= 6 (x - 1) (6 x - 11)