what is the difference in simplest form n23n2n26n8 2nn4Solu

what is the difference in simplest form n^2+3n+2/n^2+6n+8 - 2n/n+4

Solution

(n²+3n+2) / (n²+6n+8) - 2n / (n+4) ---> from here we factorize numerator and denominator
= (n+1)(n+2) / (n+2)(n+4) - 2n/(n+4) ----> by common factor, we simplify the fractions
= n+1/n+4 - 2n/n+4 --->now we do the substract, cause they have the same denominator
= (1-n) / (n+4)

Hope this helps