展开 (s+6)/((s-1)(s-2)^2)

解答

展开

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

\frac{s + 6}{s ^{3} - 5 s ^{2} + 8 s - 4}

求解步骤

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

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

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

乘开

(s - 1) (s^{2} - 4 s + 4) : s^{3} - 5 s^{2} + 8 s - 4

= \frac{s + 6}{s ^{3} - 5 s ^{2} + 8 s - 4}

e x p an d \frac{( 2 x + 1 ) ( x - 9 )}{x + 7}

e x p an d - \frac{2 ( 3 x + 1 )}{x ^{3} ( x + 1 ) ^{5}}

e x p an d 4 (\frac{w + 3}{2})^{2}

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

\frac{d ^{3}}{d x ^{3}} ((y) (2 x^{7} - x^{4} - 3 x^{3}))