Simplify the following:
x/((x - 2) (x + 9) (3 x - 6))
Factor 3 out of 3 x - 6:
x/(3 (x - 2) (x - 2) (x + 9))
Combine powers. x/((x - 2) (x + 9)×3 (x - 2)) = (x (x - 2)^(-1 - 1))/((x + 9)×3):
(x (x - 2)^(-1 - 1))/(3 (x + 9))
-1 - 1 = -2:
Answer: (x (x - 2)^(-2))/(3 (x + 9))