Whakaoti i te (-9+3i)+2(7+3i)-i(8-6i)

$$( - 9 + 3 i ) + 2 ( 7 + 3 i ) - i ( 8 - 6 i )$$

Aromātai

$$-1+i$$

Ngā Upane Otinga

Whakareatia 2 ki te 7+3i.

$$-9+3i+2\times 7+2\times \left(3i\right)-i\left(8-6i\right)$$

Mahia ngā whakarea i roto o 2\times 7+2\times \left(3i\right).

$$-9+3i+\left(14+6i\right)-i\left(8-6i\right)$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -9+3i+14+6i.

$$-9+14+\left(3+6\right)i-i\left(8-6i\right)$$

Mahia ngā tāpiri i roto o -9+14+\left(3+6\right)i.

$$5+9i-i\left(8-6i\right)$$

Whakareatia i ki te 8-6i.

$$5+9i-\left(8i-6i^{2}\right)$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$5+9i-\left(8i-6\left(-1\right)\right)$$

Mahia ngā whakarea i roto o 8i-6\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$5+9i-\left(6+8i\right)$$

Tangohia te 6+8i i te 5+9i mā te tango i ngā wāhi tūturu me ngā wāhi pohewa hāngai.

$$5-6+\left(9-8\right)i$$

Tango 6 mai i 5. Tango 8 mai i 9.

$$-1+i$$

Wāhi Tūturu

$$-1$$

Ngā Upane Otinga

Whakareatia 2 ki te 7+3i.

$$Re(-9+3i+2\times 7+2\times \left(3i\right)-i\left(8-6i\right))$$

Mahia ngā whakarea i roto o 2\times 7+2\times \left(3i\right).

$$Re(-9+3i+\left(14+6i\right)-i\left(8-6i\right))$$

Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -9+3i+14+6i.

$$Re(-9+14+\left(3+6\right)i-i\left(8-6i\right))$$

Mahia ngā tāpiri i roto o -9+14+\left(3+6\right)i.

$$Re(5+9i-i\left(8-6i\right))$$

Whakareatia i ki te 8-6i.

$$Re(5+9i-\left(8i-6i^{2}\right))$$

Hei tōna tikanga, ko te i^{2} ko -1.

$$Re(5+9i-\left(8i-6\left(-1\right)\right))$$

Mahia ngā whakarea i roto o 8i-6\left(-1\right). Whakaraupapatia anō ngā kīanga tau.

$$Re(5+9i-\left(6+8i\right))$$

Tangohia te 6+8i i te 5+9i mā te tango i ngā wāhi tūturu me ngā wāhi pohewa hāngai.

$$Re(5-6+\left(9-8\right)i)$$

Tango 6 mai i 5. Tango 8 mai i 9.

$$Re(-1+i)$$

Ko te wāhi tūturu o -1+i ko -1.

$$-1$$