Whakaoti i te 4i(2-i)(5+3i)

$$4 i ( 2 - i ) ( 5 + 3 i )$$

Aromātai

$$-4+52i$$

Ngā Upane Otinga

Whakareatia 4i ki te 2-i.

$$\left(4i\times 2+4\left(-1\right)i^{2}\right)\left(5+3i\right)$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$\left(4i\times 2+4\left(-1\right)\left(-1\right)\right)\left(5+3i\right)$$

Mahia ngā whakarea. Whakaraupapatia anō ngā kīanga tau.

$$\left(4+8i\right)\left(5+3i\right)$$

Me whakarea ngā tau matatini 4+8i me 5+3i pēnā i te whakarea huarua.

$$4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3i^{2}$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right)$$

Mahia ngā whakarea.

$$20+12i+40i-24$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa.

$$20-24+\left(12+40\right)i$$

Mahia ngā tāpiri.

$$-4+52i$$

Wāhi Tūturu

$$-4$$

Ngā Upane Otinga

Whakareatia 4i ki te 2-i.

$$Re(\left(4i\times 2+4\left(-1\right)i^{2}\right)\left(5+3i\right))$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(\left(4i\times 2+4\left(-1\right)\left(-1\right)\right)\left(5+3i\right))$$

Mahia ngā whakarea i roto o 4i\times 2+4\left(-1\right)\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$Re(\left(4+8i\right)\left(5+3i\right))$$

Me whakarea ngā tau matatini 4+8i me 5+3i pēnā i te whakarea huarua.

$$Re(4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3i^{2})$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right))$$

Mahia ngā whakarea i roto o 4\times 5+4\times \left(3i\right)+8i\times 5+8\times 3\left(-1\right).

$$Re(20+12i+40i-24)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 20+12i+40i-24.

$$Re(20-24+\left(12+40\right)i)$$

Mahia ngā tāpiri i roto o 20-24+\left(12+40\right)i.

$$Re(-4+52i)$$

Ko te wāhi tūturu o -4+52i ko -4.

$$-4$$