Simplify the expression. State any excluded values.

Question

n^2+4n-5/n+5

Answer 1

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.