展開する ln(5)5(6x^2-x+2)(12x-1)

解

展開する

ln (5) \cdot 5 (6 x^{2} - x + 2) \cdot (12 x - 1)

360 ln (5) x^{3} - 90 ln (5) x^{2} + 125 ln (5) x - 10 ln (5)

解答ステップ

ln (5) \cdot 5 (6 x^{2} - x + 2) (12 x - 1)

= 5 ln (5) (6 x^{2} - x + 2) (12 x - 1)

拡張

(6 x^{2} - x + 2) (12 x - 1) : 72 x^{3} - 18 x^{2} + 25 x - 2

= ln (5) \cdot 5 (72 x^{3} - 18 x^{2} + 25 x - 2)

拡張

ln (5) \cdot 5 (72 x^{3} - 18 x^{2} + 25 x - 2) : 360 ln (5) x^{3} - 90 ln (5) x^{2} + 125 ln (5) x - 10 ln (5)

= 360 ln (5) x^{3} - 90 ln (5) x^{2} + 125 ln (5) x - 10 ln (5)