展开 ((2s^3-s^2))/((4s^2-4s+5)^2)

解答

展开

\frac{( 2 s ^{3} - s ^{2} )}{( 4 s ^{2} - 4 s + 5 ) ^{2}}

\frac{2 s ^{3} - s ^{2}}{16 s ^{4} - 32 s ^{3} + 56 s ^{2} - 40 s + 25}

求解步骤

\frac{2 s ^{3} - s ^{2}}{( 4 s ^{2} - 4 s + 5 ) ^{2}}

(4 s^{2} - 4 s + 5)^{2} = 16 s^{4} - 32 s^{3} + 56 s^{2} - 40 s + 25

= \frac{2 s ^{3} - s ^{2}}{16 s ^{4} - 32 s ^{3} + 56 s ^{2} - 40 s + 25}

e x p an d (1 - \frac{x}{4})^{10}

e x p an d (6 - 2 x^{\frac{1}{2}})^{2}

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

\frac{d ^{2}}{d t ^{2}} ((h (t)) (t^{2} + 5)^{8})

e x p an d x^{\frac{2}{3}} (x^{2} - 9)