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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(x^{2} - c (x - \frac{1}{π}) - \frac{1}{2})^{2}

\frac{e ^{- t} ( 1 - 2 t )}{( 1 - t ) ( 1 - 4 t )}

\frac{( 2 + x ) ^{15}}{32768}

\frac{3 ^{n} + ( - 2 ) ^{n}}{1 7 ^{n}}

\frac{4 x}{( x ^{2} - 1 ) ^{2}}

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