Whakaoti i te (-4-6i)(2+9i)

$$( - 4 - 6 i ) ( 2 + 9 i )$$

Aromātai

$$46-48i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -4-6i me 2+9i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

$$-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right)$$

Mahia ngā whakarea.

$$-8-36i-12i+54$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$-8+54+\left(-36-12\right)i$$

Mahia ngā tāpiri.

$$46-48i$$

Wāhi Tūturu

$$46$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -4-6i me 2+9i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(-4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right))$$

Mahia ngā whakarea i roto o -4\times 2-4\times \left(9i\right)-6i\times 2-6\times 9\left(-1\right).

$$Re(-8-36i-12i+54)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -8-36i-12i+54.

$$Re(-8+54+\left(-36-12\right)i)$$

Mahia ngā tāpiri i roto o -8+54+\left(-36-12\right)i.

$$Re(46-48i)$$

Ko te wāhi tūturu o 46-48i ko 46.

$$46$$