Simplify the rational expression

How do you simplify this?

3 - 3x²
-----------------
(x - 1)(x - 3)

-3x² + 3
------------------ {switched top terms around}
(x - 1)(x - 3)

-3(x² - 1) 
------------------ {factored -3 out of top}
(x - 1)(x - 3)

-3(x + 1)(x - 1)
----------------------- {factored top into two binomials, it was a "difference of two squares"}
(x - 1)(x - 3)

-3(x + 1)
------------ {cancelled x - 1 on top and bottom}
x - 3

- Algebra House