展开 (5s^2-2s-19)/((s-1)^2(s+3))

解答

展开

\frac{5 s ^{2} - 2 s - 19}{( s - 1 ) ^{2} ( s + 3 )}

\frac{5 s ^{2} - 2 s - 19}{s ^{3} + s ^{2} - 5 s + 3}

求解步骤

\frac{5 s ^{2} - 2 s - 19}{( s - 1 ) ^{2} ( s + 3 )}

(s - 1)^{2} = s^{2} - 2 s + 1

= \frac{5 s ^{2} - 2 s - 19}{( s ^{2} - 2 s + 1 ) ( s + 3 )}

乘开

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

= \frac{5 s ^{2} - 2 s - 19}{s ^{3} + s ^{2} - 5 s + 3}

\frac{\partial}{\partial u} ((x) (x - y))

e x p an d \frac{14 x ^{3} - 40 x ^{2} - 23 x - 7}{( x - 3 ) ^{2} ( 2 x ^{2} + 3 x + 2 )}

s im pl i f y (x - 8)^{2}

e x p an d (- 2 a sin (t) + 2 a sin (2 t))^{2}

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