簡約 (3u-1)(u+2)+7u(u+1)

解

簡約

(3 u - 1) (u + 2) + 7 u (u + 1)

10 u^{2} + 12 u - 2

解答ステップ

(3 u - 1) (u + 2) + 7 u (u + 1)

拡張

(3 u - 1) (u + 2) : 3 u^{2} + 5 u - 2

= 3 u^{2} + 5 u - 2 + 7 u (u + 1)

拡張

7 u (u + 1) : 7 u^{2} + 7 u

= 3 u^{2} + 5 u - 2 + 7 u^{2} + 7 u

条件のようなグループ

= 3 u^{2} + 7 u^{2} + 5 u + 7 u - 2

類似した元を足す:

3 u^{2} + 7 u^{2} = 10 u^{2}

= 10 u^{2} + 5 u + 7 u - 2

類似した元を足す:

5 u + 7 u = 12 u

= 10 u^{2} + 12 u - 2