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

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

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

expand

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

\frac{2 x}{x ^{4} s + x ^{4} + 2 x ^{2} s + 2 x ^{2} + s + 1}

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

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

Expand

(x^{4} + 2 x^{2} + 1) (s + 1) : x^{4} s + x^{4} + 2 x^{2} s + 2 x^{2} + s + 1

= \frac{2 x}{x ^{4} s + x ^{4} + 2 x ^{2} s + 2 x ^{2} + s + 1}

(6 x + \frac{5}{x}) (2 x + 3)

2 x^{2} (e^{2 x} + e^{- 2 x}) + 2 x (e^{2 x} - e^{- 2 x})

\frac{π}{3} (- 2 cos (x) + 2)

(e^{2 x} + x e^{2 x})^{2}

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