展开 (s(s+0.1))/((s+1)^2(s+10))

解答

展开

\frac{s ( s + 0.1 )}{( s + 1 ) ^{2} ( s + 10 )}

\frac{s ^{2} + 0.1 s}{s ^{3} + 12 s ^{2} + 21 s + 10}

求解步骤

\frac{s ( s + 0.1 )}{( s + 1 ) ^{2} ( s + 10 )}

(s + 1)^{2} = s^{2} + 2 s + 1

= \frac{s ( s + 0.1 )}{( s ^{2} + 2 s + 1 ) ( s + 10 )}

乘开

(s^{2} + 2 s + 1) (s + 10) : s^{3} + 12 s^{2} + 21 s + 10

= \frac{s ( s + 0.1 )}{s ^{3} + 12 s ^{2} + 21 s + 10}

乘开

s (s + 0.1) : s^{2} + 0.1 s

= \frac{s ^{2} + 0.1 s}{s ^{3} + 12 s ^{2} + 21 s + 10}

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