展开 (10)/(s(s+2)(s+3)^2)

解答

展开

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

\frac{10}{s ^{4} + 8 s ^{3} + 21 s ^{2} + 18 s}

求解步骤

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

(s + 3)^{2} = s^{2} + 6 s + 9

= \frac{10}{s ( s + 2 ) ( s ^{2} + 6 s + 9 )}

乘开

s (s + 2) (s^{2} + 6 s + 9) : s^{4} + 8 s^{3} + 21 s^{2} + 18 s

= \frac{10}{s ^{4} + 8 s ^{3} + 21 s ^{2} + 18 s}

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

s im pl i f y (\frac{c}{2} - \frac{d}{3}) d^{2}

s im pl i f y (5 - x 5)^{2}

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

e x p an d \frac{( x - 3 ) ^{2}}{4 ( x - 1 )}