因数 6u^2(2u-5)^2-12u^2(2u-5)*(u+5)

解

因数

6 u^{2} \cdot (2 u - 5)^{2} - 12 u^{2} \cdot (2 u - 5) \cdot (u + 5)

- 90 u^{2} (2 u - 5)

解答ステップ

6 u^{2} (2 u - 5)^{2} - 12 u^{2} (2 u - 5) (u + 5)

共通項をくくり出す

6 u^{2} (2 u - 5) : 6 u^{2} (2 u - 5) (2 u - 5 - 2 (u + 5))

= 6 u^{2} (2 u - 5) (2 u - 5 - 2 (u + 5))

簡素化

6 u^{2} (2 u - 5) (2 u - 5 - 2 (u + 5)) : - 90 u^{2} (2 u - 5)

= - 90 u^{2} (2 u - 5)