Answer: A
Step-by-step explanation:
[tex]\dfrac{x^{2}+x-6}{x^{2}-4}*\dfrac{x^{2}-9}{x^{2}+6x+9}[/tex]
[tex]=\dfrac{(x+3)(x-2)}{(x+2)(x-2)}*\dfrac{(x-3)(x+3)}{(x+3)(x+3)}[/tex]
[tex]=\dfrac{(x+3)}{(x+2)}*\dfrac{(x-3)}{(x+3)}[/tex]
[tex]=\dfrac{(x+3)(x-3)}{(x+3)(x+2)}[/tex]
[tex]=\dfrac{(x-3)}{(x+2)}[/tex]
