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

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

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

expand

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

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

Solution steps

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

Expand

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

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

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

2 (- \frac{7}{9} + \frac{8}{3} ln (2))

\frac{x}{( x + 7 ) ^{5}}

x^{2 (x^{3} - 5)}

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

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