因数 5(a+b)^3-2(a+b)+(a+b)^3

解

因数

5 (a + b)^{3} - 2 (a + b) + (a + b)^{3}

2 (a + b) (3 a^{2} + 6 ab + 3 b^{2} - 1)

解答ステップ

5 (a + b)^{3} - 2 (a + b) + (a + b)^{3}

類似した元を足す:

5 (a + b)^{3} + (a + b)^{3} = 6 (a + b)^{3}

= 6 (a + b)^{3} - 2 (a + b)

共通項をくくり出す

2 (a + b) : 2 (a + b) (3 (a + b)^{2} - 1)

= 2 (a + b) (3 (a + b)^{2} - 1)

拡張

3 (a + b)^{2} - 1 : 3 a^{2} + 6 ab + 3 b^{2} - 1

= 2 (a + b) (3 a^{2} + 6 ab + 3 b^{2} - 1)