Question

How do you find the quotient of `(r+2)/(r+1)div4/(r^2+3r+2)`?

Answer 1

`= (r + 2)^2/4`

Explanation:

`(r + 2)/(r + 1 ) -: 4 / (r^2 + 3 r + 2)`

change a sign `-:` to * (multiplication) and the location of `4 / (r^2 + 3 r + 2)`

`= (r + 2)/(r + 1 ) * (r^2 + 3 r + 2)/ 4`

factorize `(r^2 + 3 r + 2)`

`= (r + 2)/cancel(r + 1 ) * ((r+ 2)cancel((r + 1)))/ 4`

`= (r + 2)^2/4`