Question 718276
 What is the quotient in simplest form? State any restrictions on the variable.
{{{(z^2-4)/(z-3)}}}
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{{{(z+2)/(z^2+z-12)}}}
invert the dividing fraction and multiply
{{{(z^2-4)/(z-3)}}} * {{{(z^2+z-12)/(s+2)}}}
Factor
{{{((z-2)(z+2))/(z-3)}}} * {{{((z+4)(z-3))/(z+2)}}}
Cancel z+2 and (z-3), FOIL 
(z-2) * (z+4) = (z^2 +4z - 2z - 8) = z^2 + 2z - 8
:
To avoid division by 0, z cannot = 3 or -4