What is (2x+3)/(5x-30)-(3x+4)/(x-6) ?

The solution to (2x+3)/(5x-30)-(3x+4)/(x-6) is (-13x-17)/(5(x-6))

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simplify (2x+3)/(5x-30)-(3x+4)/(x-6)

simplify

\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6}

\frac{- 13 x - 17}{5 ( x - 6 )}

Solution steps

\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6}

Join

\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6} : \frac{- 13 x - 17}{5 ( x - 6 )}

= \frac{- 13 x - 17}{5 ( x - 6 )}

12 x^{2} - 8 x - 4

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

\frac{1}{2} + \frac{1}{3} + \frac{1}{3}

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

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

What is (2x+3)/(5x-30)-(3x+4)/(x-6) ?
The solution to (2x+3)/(5x-30)-(3x+4)/(x-6) is (-13x-17)/(5(x-6))