展开 (12)/((s+2)^2(s+4))

解答

展开

\frac{12}{( s + 2 ) ^{2} ( s + 4 )}

\frac{12}{s ^{3} + 8 s ^{2} + 20 s + 16}

求解步骤

\frac{12}{( s + 2 ) ^{2} ( s + 4 )}

(s + 2)^{2} = s^{2} + 4 s + 4

= \frac{12}{( s ^{2} + 4 s + 4 ) ( s + 4 )}

乘开

(s^{2} + 4 s + 4) (s + 4) : s^{3} + 8 s^{2} + 20 s + 16

= \frac{12}{s ^{3} + 8 s ^{2} + 20 s + 16}

e x p an d \frac{2 + 2 x}{7 ( - 1 + x )}

e x p an d 4 (u v^{3} + w^{4}) (u + v e^{w})^{3}

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

e x p an d (2 x + 1) l e f t (2 x - 1)

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