Question

How do you find the quotient of `(6b-12)/(b+5)div(12b+18)`?

Answer 1

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

Explanation:

`frac{6b-12}{b+5}divide(12b+18)`

`frac{(6b-12)}{(b+5)}*frac{1}{(12b+18)}`

Factor the terms completely:
`=frac{color(red)((6))(b-2)}{(b+5)}*frac{1}{color(red)((6))(2b+3)}`

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