The first step to solve this problem is to completely factor
the expressions first.
(z^2
- 4)/(z - 3) / (z+2)/(z^2+z -12)
(z
+ 2)(z – 2)/(z – 3) / (z + 2)/(z +4)(z – 3)
When
dividing two fractions, you have to reciprocate the denominator and do the
multiplication:
(z
+ 2)(z – 2)/(z – 3) / (z +4)(z – 3)/(z + 2)
The
expressions (z + 2) and (z – 3) will be cancelled. So the expression would
become:
(z
– 2)(z + 4) = z^2 + 2z - 8
