因数 42mc+36md-7n^2c-6n^2d

解

因数

42 m c + 36 m d - 7 n^{2} c - 6 n^{2} d

(6 d + 7 c) (6 m - n^{2})

解答ステップ

42 m c + 36 m d - 7 n^{2} c - 6 n^{2} d

因数

42 m c + 36 m d : 6 m (7 c + 6 d)

因数

- 7 n^{2} c - 6 n^{2} d : - n^{2} (7 c + 6 d)

= 6 m (7 c + 6 d) - n^{2} (7 c + 6 d)

共通項をくくり出す

(6 d + 7 c)

= (6 d + 7 c) (6 m - n^{2})