因数 16x^2(4x-3)-9(4x-3)

解

因数

16 x^{2} (4 x - 3) - 9 (4 x - 3)

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

解答ステップ

16 x^{2} (4 x - 3) - 9 (4 x - 3)

共通項をくくり出す

4 x - 3

= (4 x - 3) (16 x^{2} - 9)

因数

16 x^{2} - 9 : (4 x + 3) (4 x - 3)

= (4 x - 3) (4 x + 3) (4 x - 3)

指数の規則を適用する:

aa = a^{2}

(4 x - 3) (4 x - 3) = (4 x - 3)^{2}

= (4 x - 3)^{2} (4 x + 3)