Simplify the complex fraction.
(n-3)/(n^2 + 6n + 8)/(n+1)/(n+2)
To simplify the complex fraction, we will combine the two fractions (n-3)/(n^2 + 6n + 8) and (n+1)/(n+2).
n-3 / n^2 + 6n + 8 = (n-3)/(n+4)(n+2)
n+1 / n+2 = (n+1)/(n+2)
Now, multiply the first fraction by the reciprocal of the second fraction:
(n-3)/(n+4)(n+2) * (n+2)/(n+1)
= (n-3)(n+2) / (n+4)(n+1)
Therefore, the simplified form of the complex fraction is:
(n-3)(n+2) / (n+4)(n+1)