Whakaoti i te g(z)=z^3+4z/z^2-16divz^2+3z-18/z^2+2z-24

$$g ( z ) = \frac { z ^ { 3 } + 4 z } { z ^ { 2 } - 16 } \div \frac { z ^ { 2 } + 3 z - 18 } { z ^ { 2 } + 2 z - 24 }$$

Aromātai

$$\frac{z\left(z^{2}+4\right)}{\left(z-3\right)\left(z+4\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{z^{3}+4z}{z^{2}-16} ki te \frac{z^{2}+3z-18}{z^{2}+2z-24} mā te whakarea \frac{z^{3}+4z}{z^{2}-16} ki te tau huripoki o \frac{z^{2}+3z-18}{z^{2}+2z-24}.

$$\frac{\left(z^{3}+4z\right)\left(z^{2}+2z-24\right)}{\left(z^{2}-16\right)\left(z^{2}+3z-18\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{z\left(z-4\right)\left(z+6\right)\left(z^{2}+4\right)}{\left(z-4\right)\left(z-3\right)\left(z+4\right)\left(z+6\right)}$$

Me whakakore tahi te \left(z-4\right)\left(z+6\right) i te taurunga me te tauraro.

$$\frac{z\left(z^{2}+4\right)}{\left(z-3\right)\left(z+4\right)}$$

Me whakaroha te kīanga.

$$\frac{z^{3}+4z}{z^{2}+z-12}$$

Whakaroha

$$\frac{z^{3}+4z}{\left(z-3\right)\left(z+4\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{z^{3}+4z}{z^{2}-16} ki te \frac{z^{2}+3z-18}{z^{2}+2z-24} mā te whakarea \frac{z^{3}+4z}{z^{2}-16} ki te tau huripoki o \frac{z^{2}+3z-18}{z^{2}+2z-24}.

$$\frac{\left(z^{3}+4z\right)\left(z^{2}+2z-24\right)}{\left(z^{2}-16\right)\left(z^{2}+3z-18\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{z\left(z-4\right)\left(z+6\right)\left(z^{2}+4\right)}{\left(z-4\right)\left(z-3\right)\left(z+4\right)\left(z+6\right)}$$

Me whakakore tahi te \left(z-4\right)\left(z+6\right) i te taurunga me te tauraro.

$$\frac{z\left(z^{2}+4\right)}{\left(z-3\right)\left(z+4\right)}$$

Me whakaroha te kīanga.

$$\frac{z^{3}+4z}{z^{2}+z-12}$$