Whakaoti i te (2-5i)(3+7i)

$$( 2 - 5 i ) ( 3 + 7 i )$$

Aromātai

$$41-i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 2-5i me 3+7i pēnā i te whakarea huarua.

$$2\times 3+2\times \left(7i\right)-5i\times 3-5\times 7i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$2\times 3+2\times \left(7i\right)-5i\times 3-5\times 7\left(-1\right)$$

Mahia ngā whakarea.

$$6+14i-15i+35$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$6+35+\left(14-15\right)i$$

Mahia ngā tāpiri.

$$41-i$$

Wāhi Tūturu

$$41$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 2-5i me 3+7i pēnā i te whakarea huarua.

$$Re(2\times 3+2\times \left(7i\right)-5i\times 3-5\times 7i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(2\times 3+2\times \left(7i\right)-5i\times 3-5\times 7\left(-1\right))$$

Mahia ngā whakarea i roto o 2\times 3+2\times \left(7i\right)-5i\times 3-5\times 7\left(-1\right).

$$Re(6+14i-15i+35)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 6+14i-15i+35.

$$Re(6+35+\left(14-15\right)i)$$

Mahia ngā tāpiri i roto o 6+35+\left(14-15\right)i.

$$Re(41-i)$$

Ko te wāhi tūturu o 41-i ko 41.

$$41$$