SOLUTION: What is the quotient in simplest form? State any restrictions on the variable. (z^2-4/z-3/(z+2/z^2+z-12)

Algebra ->  Rational-functions -> SOLUTION: What is the quotient in simplest form? State any restrictions on the variable. (z^2-4/z-3/(z+2/z^2+z-12)      Log On


   

Question 718276: What is the quotient in simplest form? State any restrictions on the variable.
(z^2-4/z-3/(z+2/z^2+z-12)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the quotient in simplest form? State any restrictions on the variable.
%28z%5E2-4%29%2F%28z-3%29
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%28z%2B2%29%2F%28z%5E2%2Bz-12%29
invert the dividing fraction and multiply
%28z%5E2-4%29%2F%28z-3%29 * %28z%5E2%2Bz-12%29%2F%28s%2B2%29
Factor
%28%28z-2%29%28z%2B2%29%29%2F%28z-3%29 * %28%28z%2B4%29%28z-3%29%29%2F%28z%2B2%29
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