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

The solution to expand 1+((k*(s^2-2s+2)))/(s(s+1)(s+2)) is 1+(ks^2-2ks+2k)/(s^3+3s^2+2s)

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

expand

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

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

Solution steps

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

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

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

- (\frac{9}{13} lo g_{2} (\frac{9}{13}) + \frac{4}{13} lo g_{2} (\frac{4}{13}))

ln (20) (e^{\frac{x}{52}} - 1)

2 t^{4} e^{- 2 t} + [U^{4} (t) (t - 3)]

sin ((4 n + 3) \cdot 9 0^{\circ})

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

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