展开 1/((s+1)^3(s+4))

解答

展开

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

\frac{1}{s ^{4} + 7 s ^{3} + 15 s ^{2} + 13 s + 4}

求解步骤

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

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

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

乘开

(s^{3} + 3 s^{2} + 3 s + 1) (s + 4) : s^{4} + 7 s^{3} + 15 s^{2} + 13 s + 4

= \frac{1}{s ^{4} + 7 s ^{3} + 15 s ^{2} + 13 s + 4}

e x p an d 5 (2^{x} - x)^{4} (2^{x} ln (2) - 1)

e x p an d \frac{- a c x ^{2} + b}{( c x ^{2} + 16 ) ^{2}}

s im pl i f y 3 (sin (t) + t cos (t))

e x p an d x^{''} + 100 \cdot x \cdot (1 + 10 x^{2})

e x p an d \frac{v}{( x ( x + ( a + b ) ) ( x + ( a - b ) ) )}