因数 1-25x^4y^6

解

因数

1 - 25 x^{4} y^{6}

(1 + 5 x^{2} y^{3}) (1 - 5 x^{2} y^{3})

解答ステップ

1 - 25 x^{4} y^{6}

1 = 1^{2}

25 x^{4} y^{6} = (5 x^{2} y^{3})^{2}

= 1^{2} - (5 x^{2} y^{3})^{2}

2乗の差の公式を適用する:

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

1^{2} - (5 x^{2} y^{3})^{2} = (1 + 5 x^{2} y^{3}) (1 - 5 x^{2} y^{3})

= (1 + 5 x^{2} y^{3}) (1 - 5 x^{2} y^{3})