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

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

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

expand

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

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

Solution steps

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

Expand

x (x^{2} + 2) : x^{3} + 2 x

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

Expand

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

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

\frac{s ^{3} ( 5 t ^{2} - 6 t + 3 H ( t ) - 3 e ^{- 2 t} )}{3 ( s + 2 )}

2 (π - 2)

7 (tan^{2} (θ) - 1 + cot^{4} (θ))

\frac{s ^{3} + 2 s ^{2} + 5 s + 8}{( s ^{2} + 4 ) ( s ^{2} + 9 )}

\frac{\partial}{\partial x} ((z) (z x^{2} + y^{2} + x yz))

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