Whakaoti i te -4+20i/-6+4i

$$\frac { - 4 + 20 i } { - 6 + 4 i }$$

Aromātai

$$2-2i$$

Ngā Upane Otinga

Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, -6-4i.

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6+4i\right)\left(-6-4i\right)}$$

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6\right)^{2}-4^{2}i^{2}}$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{52}$$

Me whakarea ngā tau matatini -4+20i me -6-4i pēnā i te whakarea huarua.

$$\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)i^{2}}{52}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right)}{52}$$

Mahia ngā whakarea i roto o -4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right).

$$\frac{24+16i-120i+80}{52}$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 24+16i-120i+80.

$$\frac{24+80+\left(16-120\right)i}{52}$$

Mahia ngā tāpiri i roto o 24+80+\left(16-120\right)i.

$$\frac{104-104i}{52}$$

Whakawehea te 104-104i ki te 52, kia riro ko 2-2i.

$$2-2i$$

Wāhi Tūturu

$$2$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{-4+20i}{-6+4i} ki te haumi hiato o te tauraro, -6-4i.

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6+4i\right)\left(-6-4i\right)})$$

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6\right)^{2}-4^{2}i^{2}})$$

Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{52})$$

Me whakarea ngā tau matatini -4+20i me -6-4i pēnā i te whakarea huarua.

$$Re(\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)i^{2}}{52})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right)}{52})$$

Mahia ngā whakarea i roto o -4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right).

$$Re(\frac{24+16i-120i+80}{52})$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 24+16i-120i+80.

$$Re(\frac{24+80+\left(16-120\right)i}{52})$$

Mahia ngā tāpiri i roto o 24+80+\left(16-120\right)i.

$$Re(\frac{104-104i}{52})$$

Whakawehea te 104-104i ki te 52, kia riro ko 2-2i.

$$Re(2-2i)$$

Ko te wāhi tūturu o 2-2i ko 2.

$$2$$