Simplify the expression. State any excluded values.
n^2+4n-5/n+5
To simplify the expression (n^2 + 4n - 5)/(n + 5), we first need to factor the numerator:
n^2 + 4n - 5 = (n + 5)(n - 1)
Therefore, the expression simplifies to:
(n + 5)(n - 1)/(n + 5)
Now, we can cancel out the common factor of (n + 5):
= n - 1
The simplified expression is n - 1. The only excluded value is when n = -5 because it would make the denominator zero.