因数 27-125m^3

解

因数

27 - 125 m^{3}

- (5 m - 3) (25 m^{2} + 15 m + 9)

解答ステップ

27 - 125 m^{3}

標準的な形式で書く

= - 125 m^{3} + 27

くくり出す

- 1 : - (125 m^{3} - 27)

= - (125 m^{3} - 27)

因数

125 m^{3} - 27 : (5 m - 3) (5^{2} m^{2} + 3 \cdot 5 m + 3^{2})

= - (5 m - 3) (5^{2} m^{2} + 3 \cdot 5 m + 3^{2})

簡素化

- (5 m - 3) (5^{2} m^{2} + 3 \cdot 5 m + 3^{2}) : - (5 m - 3) (25 m^{2} + 15 m + 9)

= - (5 m - 3) (25 m^{2} + 15 m + 9)