What is expand (1+s^3-s^2)/(s^2(s^2-2s+1)) ?

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

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expand (1+s^3-s^2)/(s^2(s^2-2s+1))

expand

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

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

Solution steps

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

Expand

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

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

\frac{x ^{2} + 4 + 4 x x ^{2} + 4}{4 ( x ^{2} + 4 )}

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

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

\frac{( 9 s + 47 )}{( s - 3 ) ( s - 8 )}

(\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}) (x - 4)

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