What is (3a+6)/(5a^2+7a-6)-5/(3a) ?

The solution to (3a+6)/(5a^2+7a-6)-5/(3a) is (-16a+15)/(3a(5a-3))

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simplify (3a+6)/(5a^2+7a-6)-5/(3a)

simplify

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

\frac{- 16 a + 15}{3 a ( 5 a - 3 )}

Solution steps

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

Cancel

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

= \frac{3}{5 a - 3} - \frac{5}{3 a}

Simplify

\frac{3}{5 a - 3} - \frac{5}{3 a} : \frac{9 a - 5 ( 5 a - 3 )}{3 a ( 5 a - 3 )}

= \frac{9 a - 5 ( 5 a - 3 )}{3 a ( 5 a - 3 )}

Simplify

9 a - 5 (5 a - 3) : - 16 a + 15

= \frac{- 16 a + 15}{3 a ( 5 a - 3 )}

- 5 + (- 8)

\frac{15 x ^{2} y \cdot ( - 6 ) x ^{7} y}{( 3 x y ) ^{2}}

\frac{20 x ^{5} y}{4 x y ^{8}}

\frac{33}{8}

(x - 3) (x + 9)

What is (3a+6)/(5a^2+7a-6)-5/(3a) ?
The solution to (3a+6)/(5a^2+7a-6)-5/(3a) is (-16a+15)/(3a(5a-3))