展开 (x-xln(x))/2*(-x)

解答

展开

\frac{x - x ln ( x )}{2} \cdot (- x)

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

求解步骤

\frac{x - x ln ( x )}{2} (- x)

去除括号:

(- a) = - a

= - \frac{x - x ln ( x )}{2} x

分式相乘:

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

= - \frac{( x - x ln ( x ) ) x}{2}

乘开

(x - x ln (x)) x : x^{2} - x^{2} ln (x)

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

使用分式法则:

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

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

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

去除括号:

(a) = a, - (- a) = a

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

e x p an d (- 10 - 35) (7 + 821)

s im pl i f y (x 32 + y 3)^{15}

e x p an d G (x, y, z) e n (1, - 5, 3)

e x p an d 2 (28 e^{56 y} cos (x) + 27 y^{53})

e x p an d - (x^{3} + x y^{2} + y^{3}) d x + x y^{2} d y