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

The solution to expand (2x)/((x+1)(x^2+1)^2) is (2x)/(x^5+2x^3+x+x^4+2x^2+1)

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

expand

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

\frac{2 x}{x ^{5} + 2 x ^{3} + x + x ^{4} + 2 x ^{2} + 1}

Solution steps

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

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

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

Expand

(x + 1) (x^{4} + 2 x^{2} + 1) : x^{5} + 2 x^{3} + x + x^{4} + 2 x^{2} + 1

= \frac{2 x}{x ^{5} + 2 x ^{3} + x + x ^{4} + 2 x ^{2} + 1}

(x^{2} - \frac{1}{x ^{4}})^{6}

ln^{2} (x - 2) (e^{x - 3} - 1) sin (\frac{π x}{3})

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

\frac{( 3 x + 1 ) ^{3}}{3}

\frac{x - 5}{x ( x - 1 )}

What is expand (2x)/((x+1)(x^2+1)^2) ?
The solution to expand (2x)/((x+1)(x^2+1)^2) is (2x)/(x^5+2x^3+x+x^4+2x^2+1)