Whakaoti i te (6+8i)(6-8i)

$$( 6 + 8 i ) ( 6 - 8 i )$$

Aromātai

$$100$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 6+8i me 6-8i pēnā i te whakarea huarua.

$$6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right)$$

Mahia ngā whakarea.

$$36-48i+48i+64$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$36+64+\left(-48+48\right)i$$

Mahia ngā tāpiri.

$$100$$

Wāhi Tūturu

$$100$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 6+8i me 6-8i pēnā i te whakarea huarua.

$$Re(6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right))$$

Mahia ngā whakarea i roto o 6\times 6+6\times \left(-8i\right)+8i\times 6+8\left(-8\right)\left(-1\right).

$$Re(36-48i+48i+64)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 36-48i+48i+64.

$$Re(36+64+\left(-48+48\right)i)$$

Mahia ngā tāpiri i roto o 36+64+\left(-48+48\right)i.

$$Re(100)$$

Ko te wāhi tūturu o 100 ko 100.

$$100$$