展开 (3s+1)/((s+4)^3(s^2+s+2.5))

解答

展开

\frac{3 s + 1}{( s + 4 ) ^{3} ( s ^{2} + s + 2.5 )}

\frac{3 s + 1}{s ^{5} + 13 s ^{4} + 62.5 s ^{3} + 142 s ^{2} + 184 s + 160}

求解步骤

\frac{3 s + 1}{( s + 4 ) ^{3} ( s ^{2} + s + 2.5 )}

(s + 4)^{3} = s^{3} + 12 s^{2} + 48 s + 64

= \frac{3 s + 1}{( s ^{3} + 12 s ^{2} + 48 s + 64 ) ( s ^{2} + s + 2.5 )}

乘开

(s^{3} + 12 s^{2} + 48 s + 64) (s^{2} + s + 2.5) : s^{5} + 13 s^{4} + 62.5 s^{3} + 142 s^{2} + 184 s + 160

= \frac{3 s + 1}{s ^{5} + 13 s ^{4} + 62.5 s ^{3} + 142 s ^{2} + 184 s + 160}

e x p an d lo g_{10} (3 x y^{4} z^{2})

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

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

e x p an d tan (x) (cot (x) + 1)

e x p an d (- \frac{x ^{3}}{3} - \frac{x ^{2}}{2}) e^{2 x}