Question

How do you divide `2/(m(m+3)) *( 3m + 9)/6`?

Answer 1

`color(red)( =1/m`

Explanation:

`2/(m(m+3))⋅(3m+9)/6`

Here the sign `color(red)(.` between the two expressions denotes multiplication.

Taking out `3` from the numerator of the second term
`=2/(mcancel((m+3)))⋅((3)cancel((m+3)))/6`
`=cancel6/(cancel6m)`
`color(red)( =1/m`