展开 ((3ln(6)-5)^2)/2

解答

展开

\frac{( 3 ln ( 6 ) - 5 ) ^{2}}{2}

\frac{25}{2} + \frac{9 ln ^{2} ( 6 )}{2} - 15 ln (6)

十进制

0.07041 \dots

求解步骤

\frac{( 3 ln ( 6 ) - 5 ) ^{2}}{2}

(3 ln (6) - 5)^{2} = 9 ln^{2} (6) - 30 ln (6) + 25

= \frac{9 ln ^{2} ( 6 ) - 30 ln ( 6 ) + 25}{2}

使用分式法则:

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

\frac{9 ln ^{2} ( 6 ) - 30 ln ( 6 ) + 25}{2} = \frac{9 ln ^{2} ( 6 )}{2} - \frac{30 ln ( 6 )}{2} + \frac{25}{2}

= \frac{9 ln ^{2} ( 6 )}{2} - \frac{30 ln ( 6 )}{2} + \frac{25}{2}

数字相除:

\frac{30}{2} = 15

= \frac{9 ln ^{2} ( 6 )}{2} - 15 ln (6) + \frac{25}{2}

对同类项分组

= \frac{25}{2} + \frac{9 ln ^{2} ( 6 )}{2} - 15 ln (6)

e x p an d \frac{4 x ^{2} - 4 x + 2}{( 2 x - 1 ) ^{2}}

e x p an d \frac{( x + 5 ) ( 5 x + 10 )}{( x - 5 ) ^{2}}

e x p an d 4 w^{9 (7 w^{2} + 2 w)}

e x p an d (36 - 9 x = x - 4) \cdot 20

e x p an d (1 - x) y^{'} (x) + y^{2}