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

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

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

expand

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

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

Solution steps

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

Expand

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

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

\frac{N ( N + 1 ) ( 2 N + 1 )}{6}

u (u^{2} + 3 u + 7)

(- 2 n p + n) (n - n)

(1 + x^{2}) (2 x + arcsin (x) 1 - x^{2} - arccos (x) 1 - x^{2})

\frac{12 x}{( x ^{2} + 3 ) ^{2}}

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