因数 2x(x+1)^3+3(x+1)^2x^2

解

因数

2 x (x + 1)^{3} + 3 (x + 1)^{2} x^{2}

x (x + 1)^{2} (5 x + 2)

解答ステップ

2 x (x + 1)^{3} + 3 (x + 1)^{2} x^{2}

共通項をくくり出す

x (x + 1)^{2} : x (x + 1)^{2} (2 (x + 1) + 3 x)

= x (x + 1)^{2} (2 (x + 1) + 3 x)

拡張

2 (x + 1) + 3 x : 5 x + 2

= x (x + 1)^{2} (5 x + 2)