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

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

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

long division

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

\frac{x}{2} + \frac{3}{4} + \frac{5}{4 ( 2 x - 3 )}

Solution steps

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

Divide

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

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

Divide

\frac{\frac{3 x}{2} - 1}{2 x - 3} : \frac{\frac{3 x}{2} - 1}{2 x - 3} = \frac{3}{4} + \frac{\frac{5}{4}}{2 x - 3}

= \frac{x}{2} + \frac{3}{4} + \frac{\frac{5}{4}}{2 x - 3}

Simplify

= \frac{x}{2} + \frac{3}{4} + \frac{5}{4 ( 2 x - 3 )}

\int 5 e^{4 x + e^{4 x}} d x

f (x) = (x^{3} + 3 x + 6) (4 + \frac{1}{x ^{2}})

\int cos (\frac{x}{4}) sin (\frac{x}{4}) d x

arctan (x^{3})

\int \frac{x + 3}{x ^{2} - 6 x + 5} d x

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