展开 (2(2+s+s^2+2s^4+6s^3))/(s^3(s+1)(s+2))

解答

展开

\frac{2 ( 2 + s + s ^{2} + 2 s ^{4} + 6 s ^{3} )}{s ^{3} ( s + 1 ) ( s + 2 )}

\frac{4 + 2 s + 2 s ^{2} + 4 s ^{4} + 12 s ^{3}}{s ^{5} + 3 s ^{4} + 2 s ^{3}}

求解步骤

\frac{2 ( 2 + s + s ^{2} + 2 s ^{4} + 6 s ^{3} )}{s ^{3} ( s + 1 ) ( s + 2 )}

乘开

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

= \frac{2 ( 2 s ^{4} + 6 s ^{3} + s ^{2} + s + 2 )}{s ^{5} + 3 s ^{4} + 2 s ^{3}}

乘开

2 (2 + s + s^{2} + 2 s^{4} + 6 s^{3}) : 4 + 2 s + 2 s^{2} + 4 s^{4} + 12 s^{3}

= \frac{4 + 2 s + 2 s ^{2} + 4 s ^{4} + 12 s ^{3}}{s ^{5} + 3 s ^{4} + 2 s ^{3}}

e x p an d (1 + 4 x) y

e x p an d lo g_{10} (3 x)

s im pl i f y (cos (t) + 1) (1 + sin^{2} (t))

e x p an d \frac{( ( x + 1 ) \cdot ln ( x + 1 ) + x )}{( x + 1 )}

e x p an d (- 4 t + sin (t))^{2}