Question

How do you simplify `[1/(3+x) - 1/3] / x`?

Answer 1

`-1/(3(3+x))`

Explanation:

`1/(3+x)-1/3 = (3-(3+x))/(3(3+x))=(3-3-x)/(3(3+x))=-x/(3(3+x))`

`(1/(3+x)-1/3)/x=(-x/(3(3+x)))/x=-x/(3(3+x))times1/x = -1/(3(3+x))`