e) z4 + 12z2t + 36t2 z6 + 216t3

e) $$\frac{z^4 + 12z^2t + 36t^2}{z^6 + 216t^3}$$

$$=\frac{(z^2 + 6t)^2}{(z^2 + 6t)(z^4 - 6tz^2 + 36t^2)} = \frac{z^2 + 6t}{z^4 - 6tz^2 + 36t^2}$$

Ответ:$$\frac{z^2 + 6t}{z^4 - 6tz^2 + 36t^2}$$