What is longdivision ((2x^2-x-21))/((x^2-1)) ?

The solution to longdivision ((2x^2-x-21))/((x^2-1)) is 2+(-x-19)/(x^2-1)

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longdivision ((2x^2-x-21))/((x^2-1))

long division

\frac{( 2 x ^{2} - x - 21 )}{( x ^{2} - 1 )}

2 + \frac{- x - 19}{x ^{2} - 1}

Solution steps

\frac{( 2 x ^{2} - x - 21 )}{( x ^{2} - 1 )}

Divide

\frac{2 x ^{2} - x - 21}{x ^{2} - 1} : \frac{2 x ^{2} - x - 21}{x ^{2} - 1} = 2 + \frac{- x - 19}{x ^{2} - 1}

= 2 + \frac{- x - 19}{x ^{2} - 1}

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

\frac{( 5 x ^{2} + 35 x + 33 )}{( x + 6 )}

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

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

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

What is longdivision ((2x^2-x-21))/((x^2-1)) ?
The solution to longdivision ((2x^2-x-21))/((x^2-1)) is 2+(-x-19)/(x^2-1)