因数 4(3a-b)^2+20(3a-b)+24

解

因数

4 (3 a - b)^{2} + 20 (3 a - b) + 24

4 (9 a^{2} - 6 ab + b^{2} + 15 a - 5 b + 6)

解答ステップ

4 (3 a - b)^{2} + 20 (3 a - b) + 24

共通項をくくり出す

4 : 4 ((3 a - b)^{2} + 5 (3 a - b) + 6)

= 4 ((3 a - b)^{2} + 5 (3 a - b) + 6)

拡張

(3 a - b)^{2} + 5 (3 a - b) + 6 : 9 a^{2} - 6 ab + b^{2} + 15 a - 5 b + 6

= 4 (9 a^{2} - 6 ab + b^{2} + 15 a - 5 b + 6)