What is expand (-2x^5+2x)/((x^4+1)^2) ?

The solution to expand (-2x^5+2x)/((x^4+1)^2) is (-2x^5+2x)/(x^8+2x^4+1)

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expand (-2x^5+2x)/((x^4+1)^2)

expand

\frac{- 2 x ^{5} + 2 x}{( x ^{4} + 1 ) ^{2}}

\frac{- 2 x ^{5} + 2 x}{x ^{8} + 2 x ^{4} + 1}

Solution steps

\frac{- 2 x ^{5} + 2 x}{( x ^{4} + 1 ) ^{2}}

(x^{4} + 1)^{2} = x^{8} + 2 x^{4} + 1

= \frac{- 2 x ^{5} + 2 x}{x ^{8} + 2 x ^{4} + 1}

36 (π - 2)

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

l im x \Rightarrow - 2 (x^{2} - x - 6)

t e^{4 t} f (t - 3) H (t - 3)

e^{2 (s i n (t) + 1)}

What is expand (-2x^5+2x)/((x^4+1)^2) ?
The solution to expand (-2x^5+2x)/((x^4+1)^2) is (-2x^5+2x)/(x^8+2x^4+1)