What is longdivision ((4x^3-2x^2+2x-1))/((2x+1)) ?

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

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longdivision ((4x^3-2x^2+2x-1))/((2x+1))

long division

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

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

Solution steps

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

Divide

\frac{4 x ^{3} - 2 x ^{2} + 2 x - 1}{2 x + 1} : \frac{4 x ^{3} - 2 x ^{2} + 2 x - 1}{2 x + 1} = 2 x^{2} + \frac{- 4 x ^{2} + 2 x - 1}{2 x + 1}

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

Divide

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

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

Divide

\frac{4 x - 1}{2 x + 1} : \frac{4 x - 1}{2 x + 1} = 2 + \frac{- 3}{2 x + 1}

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

Simplify

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

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

\frac{( 6 a ^{2} - 7 a + 5 )}{( 2 a - 3 )}

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

\frac{( 3 x + 2 )}{( 7 x - 1 )}

\frac{( 8 x + 7 )}{( 10 x - 9 )}

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