因数 3x^2+14-24

解

因数

3 x^{2} + 14 - 24

(3 x + 10) (3 x - 10)

解答ステップ

3 x^{2} + 14 - 24

数を足す/引く:

14 - 24 = - 10

= 3 x^{2} - 10

3 x^{2} - 10

を書き換え

(3 x)^{2} - (10)^{2}

= (3 x)^{2} - (10)^{2}

2乗の差の公式を適用する:

x^{2} - y^{2} = (x + y) (x - y)

(3 x)^{2} - (10)^{2} = (3 x + 10) (3 x - 10)

= (3 x + 10) (3 x - 10)