(2)/(x)+(1)/((3x^(2))/(1+(1)/(6x))) simplify
To simplify the given expression, we need to first simplify the denominator of the second term:
1 + (1)/(6x) = (6x + 1)/(6x)
Now substitute this back into the expression:
(2)/(x) + (1)/((3x^(2))/((6x + 1)/(6x)))
Let's simplify further:
(2)/(x) + (1)/((3x^(2))*(6x)/(6x + 1))
= (2)/(x) + (1)/((18x^3)/(6x + 1))
= (2)/(x) + (6x + 1)/(18x^3)
= (2)/(x) + (6x + 1)/(18x^3)
= (2)/(x) + ((6x + 1)/(18x^3))
= (2)/(x) + ((6x)/(18x^3)) + (1/(18x^3))
= (2)/(x) + (1)/(3x^2) + (1)/(18x^3)
Therefore, the simplified expression is (2)/(x) + (1)/(3x^2) + (1)/(18x^3)