因数 (x+4)^3(x-2)+(x+4)^2(x-2)^2

解

因数

(x + 4)^{3} (x - 2) + (x + 4)^{2} (x - 2)^{2}

2 (x + 4)^{2} (x - 2) (x + 1)

解答ステップ

(x + 4)^{3} (x - 2) + (x + 4)^{2} (x - 2)^{2}

共通項をくくり出す

(x + 4)^{2} (x - 2) : (x + 4)^{2} (x - 2) (2 x + 2)

= (x + 4)^{2} (x - 2) (2 x + 2)

因数

2 x + 2 : 2 (x + 1)

= (x + 4)^{2} (x - 2) \cdot 2 (x + 1)

= 2 (x + 4)^{2} (x - 2) (x + 1)