因数 3ab-8cd-2bc+12ad

解

因数

3 ab - 8 c d - 2 b c + 12 a d

(b + 4 d) (3 a - 2 c)

解答ステップ

3 ab - 8 c d - 2 b c + 12 a d

書き換え

= 3 ab - 8 c d - 2 b c + 4 \cdot 3 a d

共通項をくくり出す

3 a

= 3 a (b + 4 d) - 8 c d - 2 b c

書き換え

= 3 a (b + 4 d) - 4 \cdot 2 c d - 2 c b

共通項をくくり出す

2 c

= 3 a (b + 4 d) - 2 c (4 d + b)

共通項をくくり出す

(b + 4 d)

= (b + 4 d) (3 a - 2 c)