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

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

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

expand

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

\frac{x}{x ^{4} + 3 x ^{2} - 2 x ^{3} - 2 x + 2}

Solution steps

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

Expand

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

= \frac{x}{x ^{4} + 3 x ^{2} - 2 x ^{3} - 2 x + 2}

\frac{2 x 1 + 6 x}{( x - 8 ) ^{2}}

\frac{2 ( 6 + 3 )}{11}

1 + \frac{k ( s + 4 )}{s ( s + 0.5 ) ( s + 1 ) ( s ^{2} + 0.4 s + 4 )}

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

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

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