Final answer:
To simplify the expression (x+2)/(x^2+5x+6), factor the denominator and cancel out the common factor of (x+2) to get the simplified form as 1/(x+3). The excluded value is x = -3.
Step-by-step explanation:
To simplify the expression (x+2)/(x^2+5x+6), we need to factor the denominator and cancel out any common factors. The denominator can be factored as (x+2)(x+3). Canceling out the common factor of (x+2), we are left with 1/(x+3). The excluded value for the simplified expression is x = -3, because it would make the denominator zero.
Learn more about Simplifying rational expressions