Respuesta :
Answer:
(x-2)/3
Step-by-step explanation:
3x^2 -12
------------------
9x+18
Factor
3(x^2-4)
-------------
9(x+2)
Notice the numerator is the difference of squares
3(x-2)(x+2)
--------------------
3*3(x+2)
Canceling like terms
(x-2)
--------
3
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\dfrac{3x^2-12}{9x+18}\\\\ \dfrac{3(x^2-4)}{9(x+2)}\\\\ \dfrac{3(x+2)(x-2)}{3.3(x+2)}\\\\ \dfrac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\\dfrac{x-2}{3}[/tex]