What is longdivision ((x^3-8x+6))/((x^2-2x+1)) ?

The solution to longdivision ((x^3-8x+6))/((x^2-2x+1)) is x+2+(-5x+4)/(x^2-2x+1)

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longdivision ((x^3-8x+6))/((x^2-2x+1))

long division

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

x + 2 + \frac{- 5 x + 4}{x ^{2} - 2 x + 1}

Solution steps

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

Divide

\frac{x ^{3} - 8 x + 6}{x ^{2} - 2 x + 1} : \frac{x ^{3} - 8 x + 6}{x ^{2} - 2 x + 1} = x + \frac{2 x ^{2} - 9 x + 6}{x ^{2} - 2 x + 1}

= x + \frac{2 x ^{2} - 9 x + 6}{x ^{2} - 2 x + 1}

Divide

\frac{2 x ^{2} - 9 x + 6}{x ^{2} - 2 x + 1} : \frac{2 x ^{2} - 9 x + 6}{x ^{2} - 2 x + 1} = 2 + \frac{- 5 x + 4}{x ^{2} - 2 x + 1}

= x + 2 + \frac{- 5 x + 4}{x ^{2} - 2 x + 1}

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

\frac{( 5 x ^{2} - 7 x + 3 )}{( x ^{2} + 2 )}

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

\frac{( t + 5 )}{( t - 5 )}

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

What is longdivision ((x^3-8x+6))/((x^2-2x+1)) ?
The solution to longdivision ((x^3-8x+6))/((x^2-2x+1)) is x+2+(-5x+4)/(x^2-2x+1)