因数 x^2-0.0001y^4

解

因数

x^{2} - 0.0001 y^{4}

(x + 0.01 y^{2}) (x - 0.01 y^{2})

解答ステップ

x^{2} - 0.0001 y^{4}

x^{2} - 0.0001 y^{4}

を書き換え

x^{2} - (0.0001 y^{2})^{2}

= x^{2} - (0.0001 y^{2})^{2}

2乗の差の公式を適用する:

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

x^{2} - (0.0001 y^{2})^{2} = (x + 0.0001 y^{2}) (x - 0.0001 y^{2})

= (x + 0.0001 y^{2}) (x - 0.0001 y^{2})

0.0001 = 0.01

= (x + 0.01 y^{2}) (x - 0.01 y^{2})