因数 5(4x+3)^2(7x-2)-(4x+3)(7x-2)^2

解

因数

5 (4 x + 3)^{2} (7 x - 2) - (4 x + 3) (7 x - 2)^{2}

(4 x + 3) (7 x - 2) (13 x + 17)

解答ステップ

5 (4 x + 3)^{2} (7 x - 2) - (4 x + 3) (7 x - 2)^{2}

共通項をくくり出す

(4 x + 3) (7 x - 2) : (4 x + 3) (7 x - 2) (5 (4 x + 3) - (7 x - 2))

= (4 x + 3) (7 x - 2) (5 (4 x + 3) - (7 x - 2))

拡張

5 (4 x + 3) - (7 x - 2) : 13 x + 17

= (4 x + 3) (7 x - 2) (13 x + 17)