因数 4(5x-8)^2+9(5x-8)(4x+9)

解

因数

4 (5 x - 8)^{2} + 9 (5 x - 8) (4 x + 9)

7 (5 x - 8) (8 x + 7)

解答ステップ

4 (5 x - 8)^{2} + 9 (5 x - 8) (4 x + 9)

共通項をくくり出す

(5 x - 8) : (5 x - 8) (4 (5 x - 8) + 9 (4 x + 9))

= (5 x - 8) (4 (5 x - 8) + 9 (4 x + 9))

拡張

4 (5 x - 8) + 9 (4 x + 9) : 56 x + 49

= (5 x - 8) (56 x + 49)

因数

56 x + 49 : 7 (8 x + 7)

= (5 x - 8) \cdot 7 (8 x + 7)

= 7 (5 x - 8) (8 x + 7)