展開する (3x+1)(3x-1)x

解

展開する

(3 x + 1)^{\circ} (3 x - 1) x

3 x^{2} (3 x + 1)^{\circ} - x (3 x + 1)^{\circ}

解答ステップ

(3 x + 1)^{\circ} (3 x - 1) x

= x (3 x - 1) (3 x + 1)^{\circ}

分配法則を適用する:

a (b - c) = ab - a c

a = (3 x + 1)^{\circ} x, b = 3 x, c = 1

= (3 x + 1)^{\circ} x \cdot 3 x - (3 x + 1)^{\circ} x \cdot 1

= 3 xx (3 x + 1)^{\circ} - 1 \cdot x (3 x + 1)^{\circ}

簡素化

3 xx (3 x + 1)^{\circ} - 1 \cdot x (3 x + 1)^{\circ} : 3 x^{2} (3 x + 1)^{\circ} - x (3 x + 1)^{\circ}

= 3 x^{2} (3 x + 1)^{\circ} - x (3 x + 1)^{\circ}