Whakaoti i te (1+2)(2-i)(3+2i)

$$( 1 + 2 ) ( 2 - i ) ( 3 + 2 i )$$

Aromātai

$$24+3i$$

Ngā Upane Otinga

Tāpirihia te 1 ki te 2, ka 3.

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

Whakareatia 3 ki te 2-i.

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

Mahia ngā whakarea.

$$\left(6-3i\right)\left(3+2i\right)$$

Me whakarea ngā tau matatini 6-3i me 3+2i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

$$6\times 3+6\times \left(2i\right)-3i\times 3-3\times 2\left(-1\right)$$

Mahia ngā whakarea.

$$18+12i-9i+6$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$18+6+\left(12-9\right)i$$

Mahia ngā tāpiri.

$$24+3i$$

Wāhi Tūturu

$$24$$

Ngā Upane Otinga

Tāpirihia te 1 ki te 2, ka 3.

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

Whakareatia 3 ki te 2-i.

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

Mahia ngā whakarea i roto o 3\times 2+3\left(-i\right).

$$Re(\left(6-3i\right)\left(3+2i\right))$$

Me whakarea ngā tau matatini 6-3i me 3+2i pēnā i te whakarea huarua.

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

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(6\times 3+6\times \left(2i\right)-3i\times 3-3\times 2\left(-1\right))$$

Mahia ngā whakarea i roto o 6\times 3+6\times \left(2i\right)-3i\times 3-3\times 2\left(-1\right).

$$Re(18+12i-9i+6)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 18+12i-9i+6.

$$Re(18+6+\left(12-9\right)i)$$

Mahia ngā tāpiri i roto o 18+6+\left(12-9\right)i.

$$Re(24+3i)$$

Ko te wāhi tūturu o 24+3i ko 24.

$$24$$