What is expand (-2s+4)/((s^2+1)(s-1)^2) ?

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

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expand (-2s+4)/((s^2+1)(s-1)^2)

expand

\frac{- 2 s + 4}{( s ^{2} + 1 ) ( s - 1 ) ^{2}}

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

Solution steps

\frac{- 2 s + 4}{( s ^{2} + 1 ) ( s - 1 ) ^{2}}

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

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

Expand

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

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

(x^{2})^{3}

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

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

(sec (θ) + tan (θ))^{2}

(2 - y i)^{2}

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