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

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

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

long division

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

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

Solution steps

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

Divide

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

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

\frac{( 7 x + 1 )}{( 2 x - 9 )}

\frac{( x ^{3} - 3 x ^{2} + 5 x - 2 )}{x + 5}

\frac{6 x ^{3} + 3 x ^{2} - 5}{3 x ^{2} + 1}

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

\frac{( x ^{2} - 1 )}{( x - 9 )}

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