What is longdivision (x^2+4x-1)/(x+2) ?

The solution to longdivision (x^2+4x-1)/(x+2) is x+2-5/(x+2)

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longdivision (x^2+4x-1)/(x+2)

long division

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

x + 2 - \frac{5}{x + 2}

Solution steps

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

Divide

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

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

Divide

\frac{2 x - 1}{x + 2} : \frac{2 x - 1}{x + 2} = 2 + \frac{- 5}{x + 2}

= x + 2 + \frac{- 5}{x + 2}

Simplify

= x + 2 - \frac{5}{x + 2}

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

\frac{( 243 x ^{5} - 1 )}{( 3 x + 1 )}

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

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

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

What is longdivision (x^2+4x-1)/(x+2) ?
The solution to longdivision (x^2+4x-1)/(x+2) is x+2-5/(x+2)