因数 (x-3)^2-64y^4

解

因数

(x - 3)^{2} - 64 y^{4}

(x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})

解答ステップ

(x - 3)^{2} - 64 y^{4}

簡素化

64 y^{4} : (8 y^{2})^{2}

= (x - 3)^{2} - (8 y^{2})^{2}

2乗の差の公式を適用する:

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

(x - 3)^{2} - (8 y^{2})^{2} = ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

= ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

規則を適用する:

(a) = a

(x - 3) = x - 3

= (x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})