因数 0.01a^2-b^2c^4

解

因数

0.01 a^{2} - b^{2} c^{4}

(0.1 a + b c^{2}) (0.1 a - b c^{2})

解答ステップ

0.01 a^{2} - b^{2} c^{4}

b^{2} c^{4}

を書き換え

(b c^{2})^{2}

= 0.01 a^{2} - (b c^{2})^{2}

0.01 a^{2} - (b c^{2})^{2}

を書き換え

(0.01 a)^{2} - (b c^{2})^{2}

= (0.01 a)^{2} - (b c^{2})^{2}

2乗の差の公式を適用する:

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

(0.01 a)^{2} - (b c^{2})^{2} = (0.01 a + b c^{2}) (0.01 a - b c^{2})

= (0.01 a + b c^{2}) (0.01 a - b c^{2})

0.01 = 0.1

= (0.1 a + b c^{2}) (0.1 a - b c^{2})