Question
Simplify the expression. State any excluded values.
n^2 + 4n - 5/n+5
Show all your work
n^2 + 4n - 5/n+5
Show all your work
Answers
GPT 3.5
To simplify the expression n^2 + 4n - 5/n+5, we need to factor the numerator and denominator.
Numerator: n^2 + 4n - 5
This can be factored into (n + 5)(n - 1).
Denominator: n + 5
So the simplified expression is:
(n + 5)(n - 1)/(n + 5)
Simplify further by canceling out the factor of (n + 5) in the numerator and denominator:
n - 1
The simplified expression is n - 1.
Excluded value:
The excluded value is n = -5 since it would make the denominator equal to zero.
Numerator: n^2 + 4n - 5
This can be factored into (n + 5)(n - 1).
Denominator: n + 5
So the simplified expression is:
(n + 5)(n - 1)/(n + 5)
Simplify further by canceling out the factor of (n + 5) in the numerator and denominator:
n - 1
The simplified expression is n - 1.
Excluded value:
The excluded value is n = -5 since it would make the denominator equal to zero.