Question

Please help!!! Which of the following is equal to the rational expression when x ≠ -2 or 3? x^2+5x+6/x^2-x-6

Answer 1

The best possible statement to your question is x+3 / x-3

Answer 2

see below

Explanation:

These are always simplified by cancelling common factors from numerator and denominator. In order to do that, you have to factor the expressions. The restrictions on x give a clue as to the factors of the denominator.

`(x^2+5x+6)/(x^2-x-6)=((x+3)(x+2))/((x-3)(x+2))=\boxed{(x+3)/(x-3)}`