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

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

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expand (3x)/((x-2)(x^2+1))

expand

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

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

Solution steps

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

Expand

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

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

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

3 x^{2} y^{2} d x + 4 (x^{3} y - 3) d y

y (y^{3} - x) + x (y^{3} + x) d y

\frac{d}{d x} ((f (x)) (3 x^{2} - 6 x))

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

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