因数 0.25x^2-0.81

解

因数

0.25 x^{2} - 0.81

(0.5 x + 0.9) (0.5 x - 0.9)

解答ステップ

0.25 x^{2} - 0.81

0.25 x^{2} - 0.81

を書き換え

(0.25 x)^{2} - (0.81)^{2}

= (0.25 x)^{2} - (0.81)^{2}

2乗の差の公式を適用する:

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

(0.25 x)^{2} - (0.81)^{2} = (0.25 x + 0.81) (0.25 x - 0.81)

= (0.25 x + 0.81) (0.25 x - 0.81)

0.25 = 0.5

= (0.5 x + 0.81) (0.25 x - 0.81)

0.81 = 0.9

= (0.5 x + 0.9) (0.25 x - 0.81)

0.25 = 0.5

= (0.5 x + 0.9) (0.5 x - 0.81)

0.81 = 0.9

= (0.5 x + 0.9) (0.5 x - 0.9)