Whakaoti i te (-2+5i)(-4+4i)

$$( - 2 + 5 i ) ( - 4 + 4 i )$$

Aromātai

$$-12-28i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -2+5i me -4+4i pēnā i te whakarea huarua.

$$-2\left(-4\right)-2\times \left(4i\right)+5i\left(-4\right)+5\times 4i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$-2\left(-4\right)-2\times \left(4i\right)+5i\left(-4\right)+5\times 4\left(-1\right)$$

Mahia ngā whakarea.

$$8-8i-20i-20$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$8-20+\left(-8-20\right)i$$

Mahia ngā tāpiri.

$$-12-28i$$

Wāhi Tūturu

$$-12$$

Ngā Upane Otinga

Me whakarea ngā tau matatini -2+5i me -4+4i pēnā i te whakarea huarua.

$$Re(-2\left(-4\right)-2\times \left(4i\right)+5i\left(-4\right)+5\times 4i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(-2\left(-4\right)-2\times \left(4i\right)+5i\left(-4\right)+5\times 4\left(-1\right))$$

Mahia ngā whakarea i roto o -2\left(-4\right)-2\times \left(4i\right)+5i\left(-4\right)+5\times 4\left(-1\right).

$$Re(8-8i-20i-20)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 8-8i-20i-20.

$$Re(8-20+\left(-8-20\right)i)$$

Mahia ngā tāpiri i roto o 8-20+\left(-8-20\right)i.

$$Re(-12-28i)$$

Ko te wāhi tūturu o -12-28i ko -12.

$$-12$$