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

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

Popular >

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

long division

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

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

Solution steps

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

Divide

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

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

Divide

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

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

Divide

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

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

\frac{x + 2}{x - 30}

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

\frac{( 2 x ^{2} + 6 x + 24 )}{( x + 4 )}

\frac{( x ^{3} - 8 x + 6 )}{( x ^{2} - 2 x + 1 )}

\frac{x ^{2} - 5}{x ^{2} - 25}

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