What is longdivision ((5x+9))/((3x-4)) ?

The solution to longdivision ((5x+9))/((3x-4)) is 5/3+(47)/(3(3x-4))

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longdivision ((5x+9))/((3x-4))

long division

\frac{( 5 x + 9 )}{( 3 x - 4 )}

\frac{5}{3} + \frac{47}{3 ( 3 x - 4 )}

Solution steps

\frac{( 5 x + 9 )}{( 3 x - 4 )}

Divide

\frac{5 x + 9}{3 x - 4} : \frac{5 x + 9}{3 x - 4} = \frac{5}{3} + \frac{\frac{47}{3}}{3 x - 4}

= \frac{5}{3} + \frac{\frac{47}{3}}{3 x - 4}

Simplify

= \frac{5}{3} + \frac{47}{3 ( 3 x - 4 )}

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

\frac{( 3 x ^{2} + 3 x - 20 )}{( x + 3 )}

\frac{( n + 2 )}{( n + 1 )}

\frac{( a + 2 )}{( a - 2 )}

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

What is longdivision ((5x+9))/((3x-4)) ?
The solution to longdivision ((5x+9))/((3x-4)) is 5/3+(47)/(3(3x-4))