展开 1/((s+3)(s^2-5s+10))

解答

展开

\frac{1}{( s + 3 ) ( s ^{2} - 5 s + 10 )}

\frac{1}{s ^{3} - 2 s ^{2} - 5 s + 30}

求解步骤

\frac{1}{( s + 3 ) ( s ^{2} - 5 s + 10 )}

乘开

(s + 3) (s^{2} - 5 s + 10) : s^{3} - 2 s^{2} - 5 s + 30

= \frac{1}{s ^{3} - 2 s ^{2} - 5 s + 30}

e x p an d \frac{d y}{y} (- 3, - 5) (0, 10)^{''}

e x p an d \frac{1}{5} (3 ln \frac{x ^{2}}{4} + 1 + 2 arctan (\frac{x}{2}))

e x p an d \frac{3 x ^{3} + 2 x - 1}{x ( x + 1 ) ( x - 7 )}

e x p an d (- sin (t) + cos (t)) \cdot (- cos (t) - sin (t))

e x p an d (1 + \frac{1}{s ^{2}}) (\frac{s ^{3}}{2})