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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

Please help!!! Which of the following is equal to the rational expression when x ≠ -2 or-example-1
User Dan Rubio
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3 votes

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

User Matewilk
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2 votes

Answer:

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)}

Please help!!! Which of the following is equal to the rational expression when x ≠ -2 or-example-1
User Crichavin
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