展开 (500k)/((s^2+25s+100k)(s^2+1))

解答

展开

\frac{500 k}{( s ^{2} + 25 s + 100 k ) ( s ^{2} + 1 )}

\frac{500 k}{s ^{4} + s ^{2} + 25 s ^{3} + 25 s + 100 k s ^{2} + 100 k}

求解步骤

\frac{500 k}{( s ^{2} + 25 s + 100 k ) ( s ^{2} + 1 )}

乘开

(s^{2} + 25 s + 100 k) (s^{2} + 1) : s^{4} + s^{2} + 25 s^{3} + 25 s + 100 k s^{2} + 100 k

= \frac{500 k}{s ^{4} + s ^{2} + 25 s ^{3} + 25 s + 100 k s ^{2} + 100 k}

e x p an d 7 (5 + 11)

e x p an d - \frac{4 x}{5 ( x ^{2} + y )}

e x p an d sin (x) (cos (x) + cos (x) sin (x))

e x p an d \frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

e x p an d (240 cos (w x) - 29 cos (3 w x))^{2}