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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 3 x25x6x2x6 class=

Respuesta :

Answer:

   see below

Step-by-step 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.

  [tex]\dfrac{x^2+5x+6}{x^2-x-6}=\dfrac{(x+3)(x+2)}{(x-3)(x+2)}=\boxed{\dfrac{x+3}{x-3}}[/tex]

Ver imagen sqdancefan

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