To get the answer to this problem you first factor out the common term 2
(n+3)/(2(n-3) ) * (n+3)/(3n-9)
then factor out the common term 3
(n+3)/(2 (n-3) ) * (n+3)/(3 (n-3) )
then simplify
( (n+3)(n+3)/(2 (n-3)*3(n-3) )
Use product rule : x^a x^b= x^a+b
( (n+3)^2/(2 (n-3)*3(n-3) )
simplify 2 (n-3) * 3(n-3) to 6(n-3)(n-3)
( (n+3)^2/(6 (n-3)(n-3) )
use product rule again : x^a x^b=x^a+b
so you get the answer : ( (n+3)^2)/(6 (n-3)^2 )
so the orrect answer to this problem is answer choice (C)
