What is expand (2s^2+2s-1)/(s^2(s^2-2s-1)) ?

The solution to expand (2s^2+2s-1)/(s^2(s^2-2s-1)) is (2s^2+2s-1)/(s^4-2s^3-s^2)

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expand (2s^2+2s-1)/(s^2(s^2-2s-1))

expand

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

\frac{2 s ^{2} + 2 s - 1}{s ^{4} - 2 s ^{3} - s ^{2}}

Solution steps

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

Expand

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

= \frac{2 s ^{2} + 2 s - 1}{s ^{4} - 2 s ^{3} - s ^{2}}

\frac{( 5 s + 20 )}{( ( s + 1 ) ( s + 2 ) ( s + 3 ) )}

y (x sin (x) + cos (x))

- \frac{1}{2} (e^{- t} - 1)

\frac{2 ( x ^{3} - 3 x ^{2} - 3 x - 1 )}{x ^{3} ( x + 1 ) ^{3}}

What is expand (2s^2+2s-1)/(s^2(s^2-2s-1)) ?
The solution to expand (2s^2+2s-1)/(s^2(s^2-2s-1)) is (2s^2+2s-1)/(s^4-2s^3-s^2)