展开 (10)/((s+2)(s+1)^3)

解答

展开

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

\frac{10}{s ^{4} + 5 s ^{3} + 9 s ^{2} + 7 s + 2}

求解步骤

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

(s + 1)^{3} = s^{3} + 3 s^{2} + 3 s + 1

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

乘开

(s + 2) (s^{3} + 3 s^{2} + 3 s + 1) : s^{4} + 5 s^{3} + 9 s^{2} + 7 s + 2

= \frac{10}{s ^{4} + 5 s ^{3} + 9 s ^{2} + 7 s + 2}

s im pl i f y 8 \cdot (\frac{x}{2} + \frac{1}{4})

e x p an d (x + sin (x))^{2}

e x p an d (x 32 + y 3)^{10}

s im pl i f y 2 (3 + 5)

e x p an d \frac{- s ^{2} + 6 s - 12}{( s - 2 ) ( s ^{2} - 4 s + 8 )}