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

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

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

expand

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

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

Solution steps

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

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

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

- \frac{( 6 x ^{2} + 11 x + 7 )}{( x ^{2} + 5 ) ( x + 3 )}

(3 - x - 1) (6 - x + 2)

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

- ((- 1, 0, 2) + 3 (3, - 1, - 2))

f, f = x^{3} e^{- 2 x} + δ (x - π)

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