簡約 1/2 x^2ln^2(x)-2x^2ln(x)+5/2 x^2

解

簡約

\frac{1}{2} x^{2} ln^{2} (x) - 2 x^{2} ln (x) + \frac{5}{2} x^{2}

\frac{x ^{2} ln ^{2} ( x ) + 5 x ^{2}}{2} - 2 x^{2} ln (x)

解答ステップ

\frac{1}{2} x^{2} ln^{2} (x) - 2 x^{2} ln (x) + \frac{5}{2} x^{2}

\frac{1}{2} x^{2} ln^{2} (x) = \frac{x ^{2}}{2} ln^{2} (x)

\frac{5}{2} x^{2} = \frac{5 x ^{2}}{2}

= \frac{x ^{2}}{2} ln^{2} (x) - 2 x^{2} ln (x) + \frac{5 x ^{2}}{2}

乗じる

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

= \frac{x ^{2} ln ^{2} ( x )}{2} - 2 x^{2} ln (x) + \frac{5 x ^{2}}{2}

分数を組み合わせる

\frac{x ^{2} ln ^{2} ( x )}{2} + \frac{5 x ^{2}}{2} : \frac{x ^{2} ln ^{2} ( x ) + 5 x ^{2}}{2}

= \frac{x ^{2} ln ^{2} ( x ) + 5 x ^{2}}{2} - 2 x^{2} ln (x)