What is (6a+10)/(6a-9ab+10-15b) ?

The solution to (6a+10)/(6a-9ab+10-15b) is -2/(3b-2)

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simplify (6a+10)/(6a-9ab+10-15b)

simplify

\frac{6 a + 10}{6 a - 9 ab + 10 - 15 b}

- \frac{2}{3 b - 2}

Solution steps

\frac{6 a + 10}{6 a - 9 ab + 10 - 15 b}

Factor

6 a + 10 : 2 (3 a + 5)

= \frac{2 ( 3 a + 5 )}{6 a - 9 ab + 10 - 15 b}

Factor

6 a - 9 ab + 10 - 15 b : - (3 b - 2) (3 a + 5)

= \frac{2 ( 3 a + 5 )}{- ( 3 b - 2 ) ( 3 a + 5 )}

Cancel the common factor:

3 a + 5

= \frac{2}{- ( 3 b - 2 )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2}{3 b - 2}

36 c d - 11 c a^{2}

- 65

8 (4 - b)

2 \frac{1}{3} + 6 \frac{3}{5}

(11 - 2 i) - (9 - 8 i)

What is (6a+10)/(6a-9ab+10-15b) ?
The solution to (6a+10)/(6a-9ab+10-15b) is -2/(3b-2)