展开 (s^3-7s^2+19s-17)/((s-2)^2(s-3)^3)

解答

展开

\frac{s ^{3} - 7 s ^{2} + 19 s - 17}{( s - 2 ) ^{2} ( s - 3 ) ^{3}}

\frac{s ^{3} - 7 s ^{2} + 19 s - 17}{s ^{5} - 13 s ^{4} + 67 s ^{3} - 171 s ^{2} + 216 s - 108}

求解步骤

\frac{s ^{3} - 7 s ^{2} + 19 s - 17}{( s - 2 ) ^{2} ( s - 3 ) ^{3}}

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

= \frac{s ^{3} - 7 s ^{2} + 19 s - 17}{( s ^{2} - 4 s + 4 ) ( s - 3 ) ^{3}}

(s - 3)^{3} = s^{3} - 9 s^{2} + 27 s - 27

= \frac{s ^{3} - 7 s ^{2} + 19 s - 17}{( s ^{2} - 4 s + 4 ) ( s ^{3} - 9 s ^{2} + 27 s - 27 )}

乘开

(s^{2} - 4 s + 4) (s^{3} - 9 s^{2} + 27 s - 27) : s^{5} - 13 s^{4} + 67 s^{3} - 171 s^{2} + 216 s - 108

= \frac{s ^{3} - 7 s ^{2} + 19 s - 17}{s ^{5} - 13 s ^{4} + 67 s ^{3} - 171 s ^{2} + 216 s - 108}

e x p an d \frac{5 x ^{2} - 7 x}{( z - 1 ) ( z - 2 )}

e x p an d l {e^{t + 3} u (t - 6)}

e x p an d sin (x - \frac{7 π}{6})

e x p an d \frac{( x - 1 ) 4 n ( x ^{3} + 8 ) ( x - 4 )}{( x ^{2} - 2 x + 2 )}

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