What is longdivision ((7x+1))/((2x-9)) ?

The solution to longdivision ((7x+1))/((2x-9)) is 7/2+(65)/(2(2x-9))

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longdivision ((7x+1))/((2x-9))

long division

\frac{( 7 x + 1 )}{( 2 x - 9 )}

\frac{7}{2} + \frac{65}{2 ( 2 x - 9 )}

Solution steps

\frac{( 7 x + 1 )}{( 2 x - 9 )}

Divide

\frac{7 x + 1}{2 x - 9} : \frac{7 x + 1}{2 x - 9} = \frac{7}{2} + \frac{\frac{65}{2}}{2 x - 9}

= \frac{7}{2} + \frac{\frac{65}{2}}{2 x - 9}

Simplify

= \frac{7}{2} + \frac{65}{2 ( 2 x - 9 )}

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

\frac{6 x ^{3} + 3 x ^{2} - 5}{3 x ^{2} + 1}

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

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

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

What is longdivision ((7x+1))/((2x-9)) ?
The solution to longdivision ((7x+1))/((2x-9)) is 7/2+(65)/(2(2x-9))