Question

Simplify the expression:
[1/ (3+x) - 1/3] / x

Answer 1

-1/(3(x+3))

Answer 2

Is that the final answer?

Answer 3

If so how did you get that?

Answer 4

so
1/(3+x) - 1/3 = 3/(3x+9) - (3+x)/(3x+9) = (3-(3+x))/(3x+9)
Thus
(-x/(3x+9))/x = -1/(3x+9)=-1/(3(x+3))

Answer 5

thanks for teh solution