Question

What is the resulting rational expression? please help me with this!

Answer 1

Answer : D

`(2)/(3z) - ((5)/(6z^2) - (z+3)/(z))`

`(2)/(3z) - (5)/(6z^2) + (z+3)/(z)`

We take common denominator

Least common denominator is 6z^2

We try to get 6x^2 in all the denominators

`(2*2z)/(3z*2z) - (5)/(6z^2) + ((z+3)*6z)/(z*6z)`

`(4z)/(6z^2) - (5)/(6z^2) + (6z^2+18z)/(6z^2)`

`(4z-5 +6z^2+18z)/(6z^2)`

`(6z^2+22z-5)/(6z^2)`