因数 (x-3)(x-2)(x-1)+(x-1)(x-2)-(x-1)

解

因数

(x - 3) (x - 2) (x - 1) + (x - 1) (x - 2) - (x - 1)

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

解答ステップ

(x - 3) (x - 2) (x - 1) + (x - 1) (x - 2) - (x - 1)

共通項をくくり出す

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

= (x - 1) ((x - 3) (x - 2) + x - 3)

共通項をくくり出す

(x - 3) : (x - 3) (x - 1)

= (x - 1) (x - 3) (x - 1)

指数の規則を適用する:

aa = a^{2}

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

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