Whakaoti i te (1-2i)(-5+4i)+(-2-2i)

$$( 1 - 2 i ) ( - 5 + 4 i ) + ( - 2 - 2 i )$$

Aromātai

$$1+12i$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 1-2i me -5+4i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

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

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

$$-5+4i+10i+8+\left(-2-2i\right)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -5+4i+10i+8.

$$-5+8+\left(4+10\right)i+\left(-2-2i\right)$$

Mahia ngā tāpiri i roto o -5+8+\left(4+10\right)i.

$$3+14i+\left(-2-2i\right)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$3-2+\left(14-2\right)i$$

Mahia ngā tāpiri.

$$1+12i$$

Wāhi Tūturu

$$1$$

Ngā Upane Otinga

Me whakarea ngā tau matatini 1-2i me -5+4i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

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

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

$$Re(-5+4i+10i+8+\left(-2-2i\right))$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -5+4i+10i+8.

$$Re(-5+8+\left(4+10\right)i+\left(-2-2i\right))$$

Mahia ngā tāpiri i roto o -5+8+\left(4+10\right)i.

$$Re(3+14i+\left(-2-2i\right))$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 3+14i+\left(-2-2i\right).

$$Re(3-2+\left(14-2\right)i)$$

Mahia ngā tāpiri i roto o 3-2+\left(14-2\right)i.

$$Re(1+12i)$$

Ko te wāhi tūturu o 1+12i ko 1.

$$1$$