What is the quotient in simplest form? State any restrictions on the varible.
z^2 -4/ z-3
divided by
z+2/z^2 +z-12
((z^2-4)/(z-3))/((z+2)/(z^2+z-12) = ((((z^2)-4)*((z^2)+z-12))/((z-3)*(z+2)))
z2−4z−3z+2z2+z−12
z2−7z+2z2+z−12
z2+z−7z+2z2−12
The only thing that can be done is to simplify the expression. The only restrictions would be if you subsitute z for a number and then solve. z cannot be 0 because if you divide 7 by 0 or 2 by 02 (or 0), you would get undefined as an answer.