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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{e ^{- a s}}{s ( s - 2 )}

\frac{3 x ^{2} + 17 x + 14}{( x - 2 ) ( x ^{2} + 2 x + 4 )}

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

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

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

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