9514 1404 393
Answer:
(6x+12)/x^2
Step-by-step explanation:
The product can be simplified by cancelling common factors from numerator and denominator.
[tex]\dfrac{6x-18}{x^2}\times\dfrac{x^2+5x+6}{x^2-9}=\dfrac{6(x-3)}{x^2}\times\dfrac{(x+2)(x+3)}{(x-3)(x+3)}\\\\=\dfrac{6(x+2)}{x^2}=\boxed{\dfrac{6x+12}{x^2}}[/tex]
