Using the fact that a - b = -1(b-a) simplify the following: (3)/(1-x) - (2)/(x-1)

Question

Using the fact that
`a - b = -1(b-a)` simplify the following:
`(3)/(1-x) - (2)/(x-1)`

Answer 1

`(5)/(1-x)`

Explanation:

Given

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

=
`(3)/(1-x)` -
`(2)/(-1(1-x))`

=
`(3)/(1-x)` +
`(2)/(1-x)`

=
`(5)/(1-x)`