展开 ((0.11423(s+7.646)(s+1.167)))/s

解答

展开

\frac{( 0.11423 ( s + 7.646 ) ( s + 1.167 ) )}{s}

0.11423 s + 1.00670899 + \frac{1.01926 \dots}{s}

求解步骤

\frac{0.11423 ( s + 7.646 ) ( s + 1.167 )}{s}

乘开

0.11423 (s + 7.646) (s + 1.167) : 0.11423 s^{2} + 1.00670899 s + 1.01926 \dots

= \frac{0.11423 s ^{2} + 1.00670899 s + 1.01926 \dots}{s}

使用分式法则:

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

\frac{0.11423 s ^{2} + 1.00670899 s + 1.01926 \dots}{s} = \frac{0.11423 s ^{2}}{s} + \frac{1.00670899 s}{s} + \frac{1.01926 \dots}{s}

= \frac{0.11423 s ^{2}}{s} + \frac{1.00670899 s}{s} + \frac{1.01926 \dots}{s}

消掉

\frac{0.11423 s ^{2}}{s} : 0.11423 s

= 0.11423 s + \frac{1.00670899 s}{s} + \frac{1.01926 \dots}{s}

消掉

\frac{1.00670899 s}{s} : 1.00670899

= 0.11423 s + 1.00670899 + \frac{1.01926 \dots}{s}

e x p an d \frac{1}{( 3 x + 1 ) ^{3}}

e x p an d \frac{x ( 2 x - 3 )}{4 x ^{2} + 17 x - 15}

e x p an d \frac{100 ( s + 3 )}{( s + 6 ) ( s ^{2} + 6 s + 25 )}

e x p an d (s) (- \frac{1}{s + 1} - ln (s + 1))

e x p an d \frac{x ^{6} - 1}{( x - 4 ) ^{2}}