Whakaoti i te (-3+5i)(-6+6i)

$$( - 3 + 5 i ) ( - 6 + 6 i )$$

Aromātai

$$-12-48i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -3+5i me -6+6i pēnā i te whakarea huarua.

$$-3\left(-6\right)-3\times \left(6i\right)+5i\left(-6\right)+5\times 6i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$-3\left(-6\right)-3\times \left(6i\right)+5i\left(-6\right)+5\times 6\left(-1\right)$$

Mahia ngā whakarea.

$$18-18i-30i-30$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$18-30+\left(-18-30\right)i$$

Mahia ngā tāpiri.

$$-12-48i$$

Wāhi Tūturu

$$-12$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -3+5i me -6+6i pēnā i te whakarea huarua.

$$Re(-3\left(-6\right)-3\times \left(6i\right)+5i\left(-6\right)+5\times 6i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(-3\left(-6\right)-3\times \left(6i\right)+5i\left(-6\right)+5\times 6\left(-1\right))$$

Mahia ngā whakarea i roto o -3\left(-6\right)-3\times \left(6i\right)+5i\left(-6\right)+5\times 6\left(-1\right).

$$Re(18-18i-30i-30)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 18-18i-30i-30.

$$Re(18-30+\left(-18-30\right)i)$$

Mahia ngā tāpiri i roto o 18-30+\left(-18-30\right)i.

$$Re(-12-48i)$$

Ko te wāhi tūturu o -12-48i ko -12.

$$-12$$