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

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

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

long division

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

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

Solution steps

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

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}

Simplify

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

\frac{( 3 a ^{3} - 16 )}{( a - 2 )}

\frac{2 x ^{2} + 5 x - 18}{x + 4}

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

\frac{( 2 x - 5 )}{( 3 - 4 x )}

\frac{( 5 x + 9 )}{( 3 x - 4 )}

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