Question

Divide and simplify.
z^2+8z/z^2+4z-32\[\div\]z/z+4

Answer 1

\[\frac{z+4}{z-4}\]

Answer 2

z^2 +8z z
--------- ÷ --------
z^2+4z-32 z+4


= z(z+8) z+4
-------- * -------
(z-4)(z+8) z

= z z+4
---- * ------
z-4 z


= z+4
-----
z-4

\[z \neq 4\] & \[z \neq -8 \] & \[z \neq 0 \]