Question 83495
x^2+5x+6 divided by x^2-4 multiplyed by x^2-5x+6 divided by x^2-9.
Factor where you can to get:
[(x+3)(x+2)/(x+2)(x-2)]*[(x-3)(x-2)/(x+3)(x-3)]
Cancel the common factors: (x+2) and  (x_3) to get:
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[(x+3)/(x-2)]*[(x-2)(x+3)]
Cancel the common factors: (x+3) and (x-2) to get:

= 1
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Cheers,
Stan H.