因数 1-y^{12}

解

因数

1 - y^{12}

- (y^{2} + 1) (y + 1) (y - 1) (y^{2} + y + 1) (y^{2} - y + 1) (y^{4} - y^{2} + 1)

解答ステップ

1 - y^{12}

標準的な形式で書く

= - y^{12} + 1

くくり出す

- 1 : - (y^{12} - 1)

= - (y^{12} - 1)

因数

y^{12} - 1 : (y^{2} + 1) (y + 1) (y - 1) (y^{2} + 1 + y) (y^{2} + 1 - y) (y^{4} + 1 - y^{2})

= - (y^{2} + 1) (y + 1) (y - 1) (y^{2} + 1 + y) (y^{2} + 1 - y) (y^{4} + 1 - y^{2})

= - (y^{2} + 1) (y + 1) (y - 1) (y^{2} + y + 1) (y^{2} - y + 1) (y^{4} - y^{2} + 1)