展开 6/(s(s+2)^2(s+4))

解答

展开

\frac{6}{s ( s + 2 ) ^{2} ( s + 4 )}

\frac{6}{s ^{4} + 8 s ^{3} + 20 s ^{2} + 16 s}

求解步骤

\frac{6}{s ( s + 2 ) ^{2} ( s + 4 )}

(s + 2)^{2} = s^{2} + 4 s + 4

= \frac{6}{s ( s ^{2} + 4 s + 4 ) ( s + 4 )}

乘开

s (s^{2} + 4 s + 4) (s + 4) : s^{4} + 8 s^{3} + 20 s^{2} + 16 s

= \frac{6}{s ^{4} + 8 s ^{3} + 20 s ^{2} + 16 s}

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