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

1 Answer
Apr 8, 2017

= (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