Whakaoti i te (6+9i)(3-4i)

$$( 6 + 9 i ) ( 3 - 4 i )$$

Aromātai

$$54+3i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 6+9i me 3-4i pēnā i te whakarea huarua.

$$6\times 3+6\times \left(-4i\right)+9i\times 3+9\left(-4\right)i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$6\times 3+6\times \left(-4i\right)+9i\times 3+9\left(-4\right)\left(-1\right)$$

Mahia ngā whakarea.

$$18-24i+27i+36$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$18+36+\left(-24+27\right)i$$

Mahia ngā tāpiri.

$$54+3i$$

Wāhi Tūturu

$$54$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 6+9i me 3-4i pēnā i te whakarea huarua.

$$Re(6\times 3+6\times \left(-4i\right)+9i\times 3+9\left(-4\right)i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(6\times 3+6\times \left(-4i\right)+9i\times 3+9\left(-4\right)\left(-1\right))$$

Mahia ngā whakarea i roto o 6\times 3+6\times \left(-4i\right)+9i\times 3+9\left(-4\right)\left(-1\right).

$$Re(18-24i+27i+36)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 18-24i+27i+36.

$$Re(18+36+\left(-24+27\right)i)$$

Mahia ngā tāpiri i roto o 18+36+\left(-24+27\right)i.

$$Re(54+3i)$$

Ko te wāhi tūturu o 54+3i ko 54.

$$54$$