Question

***WILL MEDAL***
Divide (x ^ 2 - 4)(x - 1)

Answer 1

"Simplified" using the Mathematica program.
\[x-1+\frac{3}{x-1}\]

Answer 2

Assuming that Divide (x ^ 2 - 4)(x - 1) -> (x ^ 2 - 4)/(x - 1)

Answer 3

I think there may be a typo in the answer above

just look at the problem this way

\[\frac{x^2 - 4}{x -1} = \frac{(x^2 - 1) - 3}{(x -1)}\]

the fraction can be split

\[\frac{x^2 -1}{x -1} - \frac{3}{x -1}\]

a little factorising

\[\frac{(x -1)(x + 1)}{(x -1)} - \frac{3}{(x -1)}\]

cancel the common factor in the 1st fraction for the solution