因数 (x+1)^2-36y^2

解

因数

(x + 1)^{2} - 36 y^{2}

(x + 1 + 6 y) (x + 1 - 6 y)

解答ステップ

(x + 1)^{2} - 36 y^{2}

簡素化

36 y^{2} : (6 y)^{2}

= (x + 1)^{2} - (6 y)^{2}

2乗の差の公式を適用する:

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

(x + 1)^{2} - (6 y)^{2} = ((x + 1) + 6 y) ((x + 1) - 6 y)

= ((x + 1) + 6 y) ((x + 1) - 6 y)

規則を適用する:

(a) = a

(x + 1) = x + 1

= (x + 1 + 6 y) (x + 1 - 6 y)