展開する (6x*ln(x)-3x)/((ln(x))^2)

解

展開する

\frac{6 x \cdot ln ( x ) - 3 x}{( ln ( x ) ) ^{2}}

\frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}

解答ステップ

\frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )}

分数の規則を適用する:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{6 x ln ( x ) - 3 x}{ln ^{2} ( x )} = \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

= \frac{6 x ln ( x )}{ln ^{2} ( x )} - \frac{3 x}{ln ^{2} ( x )}

キャンセル

\frac{6 x ln ( x )}{ln ^{2} ( x )} : \frac{6 x}{ln ( x )}

= \frac{6 x}{ln ( x )} - \frac{3 x}{ln ^{2} ( x )}